Finite Math Examples

$- 4 q + 2 (q + 2) = - 3 q - 3$

Step 1

Simplify $- 4 q + 2 (q + 2)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 4 q + 2 q + 2 \cdot 2 = - 3 q - 3$

Step 1.1.2

Multiply $2$ by $2$ .

$- 4 q + 2 q + 4 = - 3 q - 3$

Step 1.2

Add $- 4 q$ and $2 q$ .

$- 2 q + 4 = - 3 q - 3$

Step 2

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

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Step 2.1

Add $3 q$ to both sides of the equation.

$- 2 q + 4 + 3 q = - 3$

Step 2.2

Add $- 2 q$ and $3 q$ .

$q + 4 = - 3$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$q = - 3 - 4$

Step 3.2

Subtract $4$ from $- 3$ .

$q = - 7$