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3z\leq -7+1
Add 1 to both sides.
3z\leq -6
Add -7 and 1 to get -6.
z\leq \frac{-6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
z\leq -2
Divide -6 by 3 to get -2.