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4-4m+8\geq 0
Use the distributive property to multiply -4 by m-2.
12-4m\geq 0
Add 4 and 8 to get 12.
-4m\geq -12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
m\leq \frac{-12}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
m\leq 3
Divide -12 by -4 to get 3.