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4w+2+3w\geq 30
Add 3w to both sides.
7w+2\geq 30
Combine 4w and 3w to get 7w.
7w\geq 30-2
Subtract 2 from both sides.
7w\geq 28
Subtract 2 from 30 to get 28.
w\geq \frac{28}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
w\geq 4
Divide 28 by 7 to get 4.