Question

solve the equation below, where there are z terms on both sides of the equation. whats the value of z? there are many ways to solve this equation. were trying to get z alone on one side of the equation, equal to some number. we can start by first trying to get all of the z terms on the right. what move can you make first to get rid of the -4z on the left so that all of the z terms are on the right side of the equation? 15 - 4z = 8 + 3z add 4z to both sides add 8 and 3z on the right subtract 4z from both sides

Explanation:

Step1: Analyze the goal

We want to get all \( z \)-terms on the right side. The left side has \( -4z \), so we need to eliminate it from the left.

Step2: Recall equation properties

To eliminate \( -4z \) from the left, we can use the addition property of equality. If we add \( 4z \) to both sides, the left side becomes \( 15 - 4z + 4z = 15 \), and the right side becomes \( 8 + 3z + 4z = 8 + 7z \). This moves the \( z \)-term from the left to the right (by combining with the \( 3z \) on the right).
Adding 8 and 3z on the right doesn't help move \( z \)-terms, and subtracting 4z from both sides would make the left side \( 15 - 8z \), which still has a \( z \)-term on the left.

Answer:

A. Add 4z to both sides