Pre-Algebra Examples

$6 (m + 4) - 2 m = - 8$

Step 1

Simplify $6 (m + 4) - 2 m$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 m + 6 \cdot 4 - 2 m = - 8$

Step 1.1.2

Multiply $6$ by $4$ .

$6 m + 24 - 2 m = - 8$

Step 1.2

Subtract $2 m$ from $6 m$ .

$4 m + 24 = - 8$

Step 2

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

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Step 2.1

Subtract $24$ from both sides of the equation.

$4 m = - 8 - 24$

Step 2.2

Subtract $24$ from $- 8$ .

$4 m = - 32$

Step 3

Divide each term in $4 m = - 32$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 m = - 32$ by $4$ .

$\frac{4 m}{4} = \frac{- 32}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 m}{4} = \frac{- 32}{4}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 32}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 32$ by $4$ .

$m = - 8$