Question

solve the equation. what is the value of z? solve for z. you can choose to show your work below, or solve on paper then enter your answer on zearn. 12 - 5(z + 2) = 3z - 10 12 - 5z - 10 = 3z - 10 -5z + 2 = 3z - 10 + 5z + 5z 2 = 8z - 10 z = \boxed{}

Explanation:

Step1: Add 10 to both sides

We have the equation \(2 = 8z - 10\). To isolate the term with \(z\), we add 10 to both sides.
\(2 + 10 = 8z - 10 + 10\)
\(12 = 8z\)

Step2: Divide both sides by 8

Now, to solve for \(z\), we divide both sides of the equation \(12 = 8z\) by 8.
\(z=\frac{12}{8}\)
Simplify the fraction \(\frac{12}{8}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
\(z = \frac{3}{2}=1.5\)

Answer:

\(z = \frac{3}{2}\) (or \(z = 1.5\))