Algebra Examples

- 4 k + 2 (5 k - 6) = - 3 k - 39

$- 4 k + 2 (5 k - 6) = - 3 k - 39$

Step 1

Simplify

- 4 k + 2 (5 k - 6)

$- 4 k + 2 (5 k - 6)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

- 4 k + 2 (5 k) + 2 \cdot - 6 = - 3 k - 39

$- 4 k + 2 (5 k) + 2 \cdot - 6 = - 3 k - 39$

Step 1.1.2

Multiply

5

$5$ by

2

$2$ .

- 4 k + 10 k + 2 \cdot - 6 = - 3 k - 39

$- 4 k + 10 k + 2 \cdot - 6 = - 3 k - 39$

Step 1.1.3

Multiply

2

$2$ by

- 6

$- 6$ .

- 4 k + 10 k - 12 = - 3 k - 39

$- 4 k + 10 k - 12 = - 3 k - 39$

- 4 k + 10 k - 12 = - 3 k - 39

$- 4 k + 10 k - 12 = - 3 k - 39$

Step 1.2

Add

- 4 k

$- 4 k$ and

10 k

$10 k$ .

6 k - 12 = - 3 k - 39

$6 k - 12 = - 3 k - 39$

6 k - 12 = - 3 k - 39

$6 k - 12 = - 3 k - 39$

Step 2

Move all terms containing

k

$k$ to the left side of the equation.

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Step 2.1

Add

3 k

$3 k$ to both sides of the equation.

6 k - 12 + 3 k = - 39

$6 k - 12 + 3 k = - 39$

Step 2.2

Add

6 k

$6 k$ and

3 k

$3 k$ .

9 k - 12 = - 39

$9 k - 12 = - 39$

9 k - 12 = - 39

$9 k - 12 = - 39$

Step 3

Move all terms not containing

k

$k$ to the right side of the equation.

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Step 3.1

Add

12

$12$ to both sides of the equation.

9 k = - 39 + 12

$9 k = - 39 + 12$

Step 3.2

Add

- 39

$- 39$ and

12

$12$ .

9 k = - 27

$9 k = - 27$

9 k = - 27

$9 k = - 27$

Step 4

Divide each term in

9 k = - 27

$9 k = - 27$ by

9

$9$ and simplify.

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Step 4.1

Divide each term in

9 k = - 27

$9 k = - 27$ by

9

$9$ .

\frac{9 k}{9} = \frac{- 27}{9}

$\frac{9 k}{9} = \frac{- 27}{9}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

9

$9$ .

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Step 4.2.1.1

Cancel the common factor.

\frac{9 k}{9} = \frac{- 27}{9}

$\frac{9 k}{9} = \frac{- 27}{9}$

Step 4.2.1.2

Divide

k

$k$ by

1

$1$ .

k = \frac{- 27}{9}

$k = \frac{- 27}{9}$

k = \frac{- 27}{9}

$k = \frac{- 27}{9}$

k = \frac{- 27}{9}

$k = \frac{- 27}{9}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide

- 27

$- 27$ by

9

$9$ .

k = - 3

$k = - 3$

k = - 3

$k = - 3$

k = - 3

$k = - 3$

- 4 k + 2 (5 k - 6) = - 3 k - 39

$- 4 k + 2 (5 k - 6) = - 3 k - 39$

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

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