Question

solve the equation. what is the value of z? add 5z to both sides to get rid of -5z on the left and get all the z terms on the right side of the equation. 12 - 5(z + 2) = 3z - 10 12 - 5z - 10 = 3z - 10 -5z + 2 = 3z - 10 + 5z + 5z \boxed{} = \boxed{}

Explanation:

Step1: Simplify left side after adding 5z

Left side: \(-5z + 2 + 5z\). The \(-5z\) and \(+5z\) cancel, leaving \(2\).

Step2: Simplify right side after adding 5z

Right side: \(3z - 10 + 5z\). Combine like terms: \(3z + 5z = 8z\), so it becomes \(8z - 10\).

Answer:

Left box: \(2\), Right box: \(8z - 10\)