Solve for b. 4(b − 14) = 20 b = _____

Distribute 4: Distribute the 4 across the parentheses. We need to multiply 4 by both b and -14 to remove the parentheses. 4 * b = 4b and 4 * -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 = 76 / 4, which simplifies to b = 19.

Home

Math Problems

Grade 7

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 $b = 19$ .