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-3w-18+30\leq 3\left(4-w\right)
Use the distributive property to multiply -3 by w+6.
-3w+12\leq 3\left(4-w\right)
Add -18 and 30 to get 12.
-3w+12\leq 12-3w
Use the distributive property to multiply 3 by 4-w.
-3w+12+3w\leq 12
Add 3w to both sides.
12\leq 12
Combine -3w and 3w to get 0.
w\in \mathrm{R}
This is true for any w.