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8(z+4)=5(13+z)+33
We move all terms to the left:
8(z+4)-(5(13+z)+33)=0
We add all the numbers together, and all the variables
8(z+4)-(5(z+13)+33)=0
We multiply parentheses
8z-(5(z+13)+33)+32=0
We calculate terms in parentheses: -(5(z+13)+33), so:We get rid of parentheses
5(z+13)+33
We multiply parentheses
5z+65+33
We add all the numbers together, and all the variables
5z+98
Back to the equation:
-(5z+98)
8z-5z-98+32=0
We add all the numbers together, and all the variables
3z-66=0
We move all terms containing z to the left, all other terms to the right
3z=66
z=66/3
z=22
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