Select the expression equivalent to (-13z-15)-(-9x+16).

1 answer

To simplify the expression \((-13z - 15) - (-9x + 16)\), we start by distributing the negative sign across the second set of parentheses.

  1. Rewrite the expression: \[ -13z - 15 + 9x - 16 \]

  2. 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: \[ 9x - 13z - 31 \]