To combine the like terms and create an equivalent expression, let's simplify the expression 4z - (-3z) step-by-step:
1. The expression 4z - (-3z) involves subtraction of a negative term. When we subtract a negative term, it is the same as adding the positive equivalent of that term. So, we can rewrite -(-3z) as +3z.
2. Now, the expression becomes 4z + 3z.
3. Since the terms 4z and 3z both have the same variable z, we can combine them by adding the coefficients: 4z + 3z = 7z.
Therefore, the equivalent expression after combining the like terms is 7z.