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-19z\geq -3+155
Add 155 to both sides.
-19z\geq 152
Add -3 and 155 to get 152.
z\leq \frac{152}{-19}
Divide both sides by -19. Since -19 is negative, the inequality direction is changed.
z\leq -8
Divide 152 by -19 to get -8.