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4(3w+8)/5=-3
We move all terms to the left:
4(3w+8)/5-(-3)=0
We add all the numbers together, and all the variables
4(3w+8)/5+3=0
We multiply all the terms by the denominator
4(3w+8)+3*5=0
We add all the numbers together, and all the variables
4(3w+8)+15=0
We multiply parentheses
12w+32+15=0
We add all the numbers together, and all the variables
12w+47=0
We move all terms containing w to the left, all other terms to the right
12w=-47
w=-47/12
w=-3+11/12
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