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19=15w-12w+4
Use the distributive property to multiply -4 by 3w-1.
19=3w+4
Combine 15w and -12w to get 3w.
3w+4=19
Swap sides so that all variable terms are on the left hand side.
3w=19-4
Subtract 4 from both sides.
3w=15
Subtract 4 from 19 to get 15.
w=\frac{15}{3}
Divide both sides by 3.
w=5
Divide 15 by 3 to get 5.