Question

z + (-9) = -15
check the solution:

Explanation:

Step1: Solve for \( z \)

To solve \( z + (-9) = -15 \), we add 9 to both sides (since adding the opposite of -9, which is 9, will isolate \( z \)).
\( z + (-9) + 9 = -15 + 9 \)
Simplifying, \( z = -6 \).

Step2: Check the solution

Substitute \( z = -6 \) back into the original equation:
Left - hand side (LHS): \( -6 + (-9) = -6 - 9 = -15 \)
Right - hand side (RHS): \( -15 \)
Since LHS = RHS, the solution is correct.

Answer:

The solution for \( z \) is \( -6 \), and the check confirms it satisfies the equation.