Question

question
solve.
2(2z + 6) = 44

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( z \), we divide both sides of the equation \( 2(2z + 6) = 44 \) by 2.
\[
\frac{2(2z + 6)}{2} = \frac{44}{2}
\]
Simplifying both sides, we get:
\[
2z + 6 = 22
\]

Step2: Subtract 6 from both sides

Next, we subtract 6 from both sides to get the term with \( z \) alone.
\[
2z + 6 - 6 = 22 - 6
\]
Simplifying both sides, we have:
\[
2z = 16
\]

Step3: Divide both sides by 2

Finally, we divide both sides by 2 to solve for \( z \).
\[
\frac{2z}{2} = \frac{16}{2}
\]
Simplifying both sides gives:
\[
z = 8
\]

Answer:

\( z = 8 \)