58+2(0.5w+4)=w-0.75(8-12w)

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Solution for 58+2(0.5w+4)=w-0.75(8-12w) equation:



58+2(0.5w+4)=w-0.75(8-12w)
We move all terms to the left:
58+2(0.5w+4)-(w-0.75(8-12w))=0
We add all the numbers together, and all the variables
2(0.5w+4)-(w-0.75(-12w+8))+58=0
We multiply parentheses
0w-(w-0.75(-12w+8))+8+58=0
We calculate terms in parentheses: -(w-0.75(-12w+8)), so:
w-0.75(-12w+8)
We multiply parentheses
w+9w-6
We add all the numbers together, and all the variables
10w-6
Back to the equation:
-(10w-6)
We add all the numbers together, and all the variables
w-(10w-6)+66=0
We get rid of parentheses
w-10w+6+66=0
We add all the numbers together, and all the variables
-9w+72=0
We move all terms containing w to the left, all other terms to the right
-9w=-72
w=-72/-9
w=+8

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