To simplify the expression \((-13z - 15) - (-9x + 16)\), we start by distributing the negative sign across the second set of parentheses.
-
Rewrite the expression: \[ -13z - 15 + 9x - 16 \]
-
Combine like terms:
- The constant terms: \(-15 - 16 = -31\)
- The variable terms remain as they are since they are different variables.
So, the expression simplifies to: \[ 9x - 13z - 31 \]
Thus, the expression equivalent to \((-13z-15)-(-9x+16)\) is: \[ 9x - 13z - 31 \]