Question

solve the equation below. whats the value of z?
\\(\frac{3}{2}(4 + 3z) = 2 + 2z\\)
\\(2 \cdot \frac{3}{2}(4 + 3z) = 2 \cdot (2 + 2z)\\)
\\(3(4 + 3z) = 4 + 4z\\)
\\(12 + 9z = 4 + 4z\\)
\\(- 4z\\) \\(-4z\\)
\\(12 + 5z = 4\\)
\\(z = \square\\)

Explanation:

Step1: Subtract 12 from both sides

We have the equation \(12 + 5z = 4\). Subtract 12 from both sides:
\(12 + 5z - 12 = 4 - 12\)
Simplifying both sides, we get \(5z = -8\).

Step2: Divide by 5

Now, divide both sides of the equation \(5z = -8\) by 5:
\(\frac{5z}{5} = \frac{-8}{5}\)
Simplifying, we find \(z = -\frac{8}{5}\) (or \(z = -1.6\)).

Answer:

\(z = -\dfrac{8}{5}\) (or \(z = -1.6\))