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3(4w+7)/5=-7

We move all terms to the left:

3(4w+7)/5-(-7)=0

We add all the numbers together, and all the variables

3(4w+7)/5+7=0

We multiply all the terms by the denominator

3(4w+7)+7*5=0

We add all the numbers together, and all the variables

3(4w+7)+35=0

We multiply parentheses

12w+21+35=0

We add all the numbers together, and all the variables

12w+56=0

We move all terms containing w to the left, all other terms to the right

12w=-56

w=-56/12

w=-4+2/3

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