Basic Math Examples

11 + 10 (4 - 6 n) = - 9 n - 6 (n - 1)

$11 + 10 (4 - 6 n) = - 9 n - 6 (n - 1)$

Step 1

Since

n

$n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

- 9 n - 6 (n - 1) = 11 + 10 (4 - 6 n)

$- 9 n - 6 (n - 1) = 11 + 10 (4 - 6 n)$

Step 2

Simplify

- 9 n - 6 (n - 1)

$- 9 n - 6 (n - 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

- 9 n - 6 n - 6 \cdot - 1 = 11 + 10 (4 - 6 n)

$- 9 n - 6 n - 6 \cdot - 1 = 11 + 10 (4 - 6 n)$

Step 2.1.2

Multiply

- 6

$- 6$ by

- 1

$- 1$ .

- 9 n - 6 n + 6 = 11 + 10 (4 - 6 n)

$- 9 n - 6 n + 6 = 11 + 10 (4 - 6 n)$

- 9 n - 6 n + 6 = 11 + 10 (4 - 6 n)

$- 9 n - 6 n + 6 = 11 + 10 (4 - 6 n)$

Step 2.2

Subtract

6 n

$6 n$ from

- 9 n

$- 9 n$ .

- 15 n + 6 = 11 + 10 (4 - 6 n)

$- 15 n + 6 = 11 + 10 (4 - 6 n)$

- 15 n + 6 = 11 + 10 (4 - 6 n)

$- 15 n + 6 = 11 + 10 (4 - 6 n)$

Step 3

Simplify

11 + 10 (4 - 6 n)

$11 + 10 (4 - 6 n)$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

- 15 n + 6 = 11 + 10 \cdot 4 + 10 (- 6 n)

$- 15 n + 6 = 11 + 10 \cdot 4 + 10 (- 6 n)$

Step 3.1.2

Multiply

10

$10$ by

4

$4$ .

- 15 n + 6 = 11 + 40 + 10 (- 6 n)

$- 15 n + 6 = 11 + 40 + 10 (- 6 n)$

Step 3.1.3

Multiply

- 6

$- 6$ by

10

$10$ .

- 15 n + 6 = 11 + 40 - 60 n

$- 15 n + 6 = 11 + 40 - 60 n$

- 15 n + 6 = 11 + 40 - 60 n

$- 15 n + 6 = 11 + 40 - 60 n$

Step 3.2

Add

11

$11$ and

40

$40$ .

- 15 n + 6 = 51 - 60 n

$- 15 n + 6 = 51 - 60 n$

- 15 n + 6 = 51 - 60 n

$- 15 n + 6 = 51 - 60 n$

Step 4

Move all terms containing

n

$n$ to the left side of the equation.

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Step 4.1

Add

60 n

$60 n$ to both sides of the equation.

- 15 n + 6 + 60 n = 51

$- 15 n + 6 + 60 n = 51$

Step 4.2

Add

- 15 n

$- 15 n$ and

60 n

$60 n$ .

45 n + 6 = 51

$45 n + 6 = 51$

45 n + 6 = 51

$45 n + 6 = 51$

Step 5

Move all terms not containing

n

$n$ to the right side of the equation.

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Step 5.1

Subtract

6

$6$ from both sides of the equation.

45 n = 51 - 6

$45 n = 51 - 6$

Step 5.2

Subtract

6

$6$ from

51

$51$ .

45 n = 45

$45 n = 45$

45 n = 45

$45 n = 45$

Step 6

Divide each term in

45 n = 45

$45 n = 45$ by

45

$45$ and simplify.

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Step 6.1

Divide each term in

45 n = 45

$45 n = 45$ by

45

$45$ .

\frac{45 n}{45} = \frac{45}{45}

$\frac{45 n}{45} = \frac{45}{45}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of

45

$45$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{45 n}{45} = \frac{45}{45}$

Step 6.2.1.2

Divide

$n$ by

$1$ .

$n = \frac{45}{45}$

$n = \frac{45}{45}$

$n = \frac{45}{45}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Divide

$45$ by

$45$ .

$n = 1$

$n = 1$

$n = 1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$