Algebra Examples

4 + 6 (7 - m) = 4

$4 + 6 (7 - m) = 4$

Step 1

Simplify

4 + 6 (7 - m)

$4 + 6 (7 - m)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

4 + 6 \cdot 7 + 6 (- m) = 4

$4 + 6 \cdot 7 + 6 (- m) = 4$

Step 1.1.2

Multiply

6

$6$ by

7

$7$ .

4 + 42 + 6 (- m) = 4

$4 + 42 + 6 (- m) = 4$

Step 1.1.3

Multiply

- 1

$- 1$ by

6

$6$ .

4 + 42 - 6 m = 4

$4 + 42 - 6 m = 4$

4 + 42 - 6 m = 4

$4 + 42 - 6 m = 4$

Step 1.2

Add

4

$4$ and

42

$42$ .

46 - 6 m = 4

$46 - 6 m = 4$

46 - 6 m = 4

$46 - 6 m = 4$

Step 2

Move all terms not containing

m

$m$ to the right side of the equation.

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Step 2.1

Subtract

46

$46$ from both sides of the equation.

- 6 m = 4 - 46

$- 6 m = 4 - 46$

Step 2.2

Subtract

46

$46$ from

4

$4$ .

- 6 m = - 42

$- 6 m = - 42$

- 6 m = - 42

$- 6 m = - 42$

Step 3

Divide each term in

- 6 m = - 42

$- 6 m = - 42$ by

- 6

$- 6$ and simplify.

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Step 3.1

Divide each term in

- 6 m = - 42

$- 6 m = - 42$ by

- 6

$- 6$ .

\frac{- 6 m}{- 6} = \frac{- 42}{- 6}

$\frac{- 6 m}{- 6} = \frac{- 42}{- 6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

- 6

$- 6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 6 m}{- 6} = \frac{- 42}{- 6}$

Step 3.2.1.2

Divide

$m$ by

$1$ .

$m = \frac{- 42}{- 6}$

$m = \frac{- 42}{- 6}$

$m = \frac{- 42}{- 6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 42$ by

$- 6$ .

$m = 7$

$m = 7$

$m = 7$

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