Pre-Algebra Examples

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

Step 1

Simplify $9 (m + 2)$ .

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $9$ by $2$ .

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

Step 2

Simplify $- 6 (m + 7)$ .

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 6$ by $7$ .

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

Step 3

Move all terms containing $m$ to the left side of the equation.

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Step 3.1

Add $6 m$ to both sides of the equation.

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

Step 3.2

Add $9 m$ and $6 m$ .

$15 m + 18 = - 42$

Step 4

Move all terms not containing $m$ to the right side of the equation.

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Step 4.1

Subtract $18$ from both sides of the equation.

$15 m = - 42 - 18$

Step 4.2

Subtract $18$ from $- 42$ .

$15 m = - 60$

Step 5

Divide each term in $15 m = - 60$ by $15$ and simplify.

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Step 5.1

Divide each term in $15 m = - 60$ by $15$ .

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

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $15$ .

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Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $m$ by $1$ .

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

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 60$ by $15$ .

$m = - 4$