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5+1+3z=-4z-1
We move all terms to the left:
5+1+3z-(-4z-1)=0
We add all the numbers together, and all the variables
3z-(-4z-1)+6=0
We get rid of parentheses
3z+4z+1+6=0
We add all the numbers together, and all the variables
7z+7=0
We move all terms containing z to the left, all other terms to the right
7z=-7
z=-7/7
z=-1
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