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7(w-5)-8=-6(-4w+8)-7w
We move all terms to the left:
7(w-5)-8-(-6(-4w+8)-7w)=0
We multiply parentheses
7w-(-6(-4w+8)-7w)-35-8=0
We calculate terms in parentheses: -(-6(-4w+8)-7w), so:We add all the numbers together, and all the variables
-6(-4w+8)-7w
We add all the numbers together, and all the variables
-7w-6(-4w+8)
We multiply parentheses
-7w+24w-48
We add all the numbers together, and all the variables
17w-48
Back to the equation:
-(17w-48)
7w-(17w-48)-43=0
We get rid of parentheses
7w-17w+48-43=0
We add all the numbers together, and all the variables
-10w+5=0
We move all terms containing w to the left, all other terms to the right
-10w=-5
w=-5/-10
w=1/2
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