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Solve for $b$ . $\newline$ $4(b - 14) = 20$ $\newline$ $b =$ _____

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Solve two-step equations with parentheses

Full solution

Q. Solve for

b

.

\newline

4(b - 14) = 20

\newline

b =

_____

Distribute $4$ : Distribute the $4$ across the parentheses. $\newline$ We need to multiply $4$ by both $b$ and $-14$ to remove the parentheses. $\newline$ $4 \times b = 4b$ and $4 \times -14 = -56$ , so the equation becomes $4b - 56 = 20$ .
Add $56$ : Add $56$ to both sides of the equation to isolate the term with the variable $b$ . Adding $56$ to both sides gives us $4b - 56 + 56 = 20 + 56$ , which simplifies to $4b = 76$ .
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $b$ . Dividing both sides by $4$ gives us $b = \frac{76}{4}$ , which simplifies to $b = 19$ .

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