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6(4w+9)/4=-6
We move all terms to the left:
6(4w+9)/4-(-6)=0
We add all the numbers together, and all the variables
6(4w+9)/4+6=0
We multiply all the terms by the denominator
6(4w+9)+6*4=0
We add all the numbers together, and all the variables
6(4w+9)+24=0
We multiply parentheses
24w+54+24=0
We add all the numbers together, and all the variables
24w+78=0
We move all terms containing w to the left, all other terms to the right
24w=-78
w=-78/24
w=-3+1/4
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