Combine the like terms to create an equivalent expression:
\large{4z-(-3z)}
To combine like terms, we need to perform the operation indicated by the subtraction sign. In this case, we need to distribute the negative sign to the terms inside the parentheses:
\begin{align*}
4z - (-3z) &= 4z + 3z
\end{align*}
Now, we can combine the like terms by adding the coefficients:
\begin{align*}
4z + 3z &= \boxed{7z}
\end{align*}
So, the equivalent expression is \boxed{7z}.
To combine like terms, first remove the parentheses by changing the sign of each term inside the parentheses. In this case, the expression is \large{4z-(-3z)}. To change the sign inside the parentheses, we change the minus sign to a plus sign and change the sign of the term that follows. In this case, the negative sign is in front of the 3z term, so it becomes positive. Therefore, the expression becomes \large{4z+3z}.
Now, combine the like terms by adding the coefficients of the z terms. The coefficients of the first term (4z) and the second term (3z) are both positive, so we add them together. Therefore, the final expression is \large{7z}.
To combine the like terms in the expression 4z - (-3z), we first need to simplify the double negative.
To simplify the expression -(-3z), we can multiply -1 by -3z. When we multiply a negative number by another negative number, we get a positive number. So, -1 * -3z equals 3z.
Now, we can rewrite the expression as 4z + 3z.
Combining the like terms, we add the coefficients of z. 4z + 3z equals 7z.
Therefore, the equivalent expression is 7z.