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7(w+1)=5(2w-3)+6
We move all terms to the left:
7(w+1)-(5(2w-3)+6)=0
We multiply parentheses
7w-(5(2w-3)+6)+7=0
We calculate terms in parentheses: -(5(2w-3)+6), so:We get rid of parentheses
5(2w-3)+6
We multiply parentheses
10w-15+6
We add all the numbers together, and all the variables
10w-9
Back to the equation:
-(10w-9)
7w-10w+9+7=0
We add all the numbers together, and all the variables
-3w+16=0
We move all terms containing w to the left, all other terms to the right
-3w=-16
w=-16/-3
w=5+1/3
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