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3z+52=8-8z
We move all terms to the left:
3z+52-(8-8z)=0
We add all the numbers together, and all the variables
3z-(-8z+8)+52=0
We get rid of parentheses
3z+8z-8+52=0
We add all the numbers together, and all the variables
11z+44=0
We move all terms containing z to the left, all other terms to the right
11z=-44
z=-44/11
z=-4
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