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:

\( z = 8 \)