Solve for z. 42=-7(z-3) z=

Distribute -7: First, distribute the -7 into the parentheses on the right side of the equation. 42 = -7(z - 3) 42 = -7z + 21Isolate variable term: Next, isolate the variable term by moving the constant on the right side to the left side of the equation. 42 - 21 = -7z 21 = -7zDivide by -7: Now, divide both sides by -7 to solve for z. 21 / -7 = -7z / -7 -3 = z

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $z$ . $\newline$ $42=-7(z-3)$ $\newline$ $z=$

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. Solve for

z

\newline

42=-7(z-3)

\newline

z=

Distribute $-7$ : First, distribute the $-7$ into the parentheses on the right side of the equation. $\newline$ $42 = -7(z - 3)$ $\newline$ $42 = -7z + 21$
Isolate variable term: Next, isolate the variable term by moving the constant on the right side to the left side of the equation. $\newline$ $42 - 21 = -7z$ $\newline$ $21 = -7z$
Divide by $-7$ : Now, divide both sides by $-7$ to solve for $z$ . $\frac{21}{-7} = \frac{-7z}{-7}$ $-3 = z$