Pre-Algebra Examples

9 (m + 2) = - 6 (m + 7)

$9 (m + 2) = - 6 (m + 7)$

Step 1

Simplify

9 (m + 2)

$9 (m + 2)$ .

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Step 1.1

Rewrite.

0 + 0 + 9 (m + 2) = - 6 (m + 7)

$0 + 0 + 9 (m + 2) = - 6 (m + 7)$

Step 1.2

Simplify by adding zeros.

9 (m + 2) = - 6 (m + 7)

$9 (m + 2) = - 6 (m + 7)$

Step 1.3

Apply the distributive property.

9 m + 9 \cdot 2 = - 6 (m + 7)

$9 m + 9 \cdot 2 = - 6 (m + 7)$

Step 1.4

Multiply

9

$9$ by

2

$2$ .

9 m + 18 = - 6 (m + 7)

$9 m + 18 = - 6 (m + 7)$

9 m + 18 = - 6 (m + 7)

$9 m + 18 = - 6 (m + 7)$

Step 2

Simplify

- 6 (m + 7)

$- 6 (m + 7)$ .

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Step 2.1

Apply the distributive property.

9 m + 18 = - 6 m - 6 \cdot 7

$9 m + 18 = - 6 m - 6 \cdot 7$

Step 2.2

Multiply

- 6

$- 6$ by

7

$7$ .

9 m + 18 = - 6 m - 42

$9 m + 18 = - 6 m - 42$

9 m + 18 = - 6 m - 42

$9 m + 18 = - 6 m - 42$

Step 3

Move all terms containing

m

$m$ to the left side of the equation.

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Step 3.1

Add

6 m

$6 m$ to both sides of the equation.

9 m + 18 + 6 m = - 42

$9 m + 18 + 6 m = - 42$

Step 3.2

Add

9 m

$9 m$ and

6 m

$6 m$ .

15 m + 18 = - 42

$15 m + 18 = - 42$

15 m + 18 = - 42

$15 m + 18 = - 42$

Step 4

Move all terms not containing

m

$m$ to the right side of the equation.

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Step 4.1

Subtract

18

$18$ from both sides of the equation.

15 m = - 42 - 18

$15 m = - 42 - 18$

Step 4.2

Subtract

18

$18$ from

- 42

$- 42$ .

15 m = - 60

$15 m = - 60$

15 m = - 60

$15 m = - 60$

Step 5

Divide each term in

15 m = - 60

$15 m = - 60$ by

15

$15$ and simplify.

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Step 5.1

Divide each term in

15 m = - 60

$15 m = - 60$ by

15

$15$ .

\frac{15 m}{15} = \frac{- 60}{15}

$\frac{15 m}{15} = \frac{- 60}{15}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

15

$15$ .

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Step 5.2.1.1

Cancel the common factor.

\frac{15 m}{15} = \frac{- 60}{15}

$\frac{15 m}{15} = \frac{- 60}{15}$

Step 5.2.1.2

Divide

m

$m$ by

1

$1$ .

m = \frac{- 60}{15}

$m = \frac{- 60}{15}$

m = \frac{- 60}{15}

$m = \frac{- 60}{15}$

m = \frac{- 60}{15}

$m = \frac{- 60}{15}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

- 60

$- 60$ by

15

$15$ .

m = - 4

$m = - 4$

m = - 4

$m = - 4$

m = - 4

$m = - 4$

9 (m + 2) = - 6 (m + 7)

$9 (m + 2) = - 6 (m + 7)$

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

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