Question

solve the equation below. whats the value of z? now, use the distributive property to multiply the right side of the equation by 2. \\(\frac{3}{2}(4 + 3z) = 2 + 2z\\) \\(2 \cdot \frac{3}{2}(4 + 3z) = 2 \cdot (2 + 2z)\\) \\(3(4 + 3z) = \square\\)

Explanation:

Step1: Apply distributive property

We need to multiply 2 with each term inside the parentheses on the right side. The distributive property states that \(a(b + c)=ab+ac\). So, for \(2\cdot(2 + 2z)\), we multiply 2 by 2 and 2 by \(2z\).
\(2\cdot(2 + 2z)=2\times2+2\times2z\)

Step2: Calculate the products

Calculate \(2\times2 = 4\) and \(2\times2z=4z\). Then combine these results.
\(2\times2+2\times2z = 4 + 4z\)

Answer:

\(4 + 4z\)