Question

linear equations w/ distribution (lev 1)
score: 0/2 penalty: none

question
solve.
$4(2z - 8) = 16$

answer attempt 1 out of 3
$z = $

Explanation:

Step1: Distribute the 4

Using the distributive property \(a(b - c)=ab - ac\), we have:
\(4\times2z-4\times8 = 16\)
\(8z - 32=16\)

Step2: Add 32 to both sides

To isolate the term with \(z\), we add 32 to both sides of the equation:
\(8z-32 + 32=16 + 32\)
\(8z=48\)

Step3: Divide by 8

To solve for \(z\), we divide both sides by 8:
\(\frac{8z}{8}=\frac{48}{8}\)
\(z = 6\)

Answer:

\(z = 6\)