8*(3z-2)-13z=5*(12-3z)+7z

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Solution for 8*(3z-2)-13z=5*(12-3z)+7z equation: 



8*(3z-2)-13z=5*(12-3z)+7z

We move all terms to the left:

8*(3z-2)-13z-(5*(12-3z)+7z)=0

We add all the numbers together, and all the variables

8*(3z-2)-13z-(5*(-3z+12)+7z)=0

We add all the numbers together, and all the variables

-13z+8*(3z-2)-(5*(-3z+12)+7z)=0

We multiply parentheses

-13z+24z-(5*(-3z+12)+7z)-16=0



We calculate terms in parentheses: -(5*(-3z+12)+7z), so:

5*(-3z+12)+7z

We add all the numbers together, and all the variables

7z+5*(-3z+12)

We multiply parentheses

7z-15z+60

We add all the numbers together, and all the variables

-8z+60

Back to the equation:

-(-8z+60)



We add all the numbers together, and all the variables

11z-(-8z+60)-16=0

We get rid of parentheses

11z+8z-60-16=0

We add all the numbers together, and all the variables

19z-76=0

We move all terms containing z to the left, all other terms to the right

19z=76

z=76/19

z=4

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