Answer
$z\leq8$
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Work Step by Step
$z-12 \leq -4$ : add 12 to both sides
$z-12+12\leq -4+12$ : simplify
$z\leq 8$
Verify that 8 is a solution at the endpoint.
$8-12\overset?= -4$
$-4=-4\checkmark$
Verify that a number less than 8 is a solution.
$6-12\overset?\leq -4$
$-6\leq -4\checkmark$