3(5z-1)-4(4Z-3)=(15z-3)-(16z-12)

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Solution for 3(5z-1)-4(4Z-3)=(15z-3)-(16z-12) equation:



3(5z-1)-4(4-3)=(15z-3)-(16z-12)
We move all terms to the left:
3(5z-1)-4(4-3)-((15z-3)-(16z-12))=0
We add all the numbers together, and all the variables
3(5z-1)-((15z-3)-(16z-12))-41=0
We multiply parentheses
15z-((15z-3)-(16z-12))-3-41=0
We calculate terms in parentheses: -((15z-3)-(16z-12)), so:
(15z-3)-(16z-12)
We get rid of parentheses
15z-16z-3+12
We add all the numbers together, and all the variables
-1z+9
Back to the equation:
-(-1z+9)
We add all the numbers together, and all the variables
15z-(-1z+9)-44=0
We get rid of parentheses
15z+1z-9-44=0
We add all the numbers together, and all the variables
16z-53=0
We move all terms containing z to the left, all other terms to the right
16z=53
z=53/16
z=3+5/16

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