3z+7=8z-39

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Solution for 3z+7=8z-39 equation: 


Simplifying
3z + 7 = 8z + -39

Reorder the terms:
7 + 3z = 8z + -39

Reorder the terms:
7 + 3z = -39 + 8z

Solving
7 + 3z = -39 + 8z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-8z' to each side of the equation.
7 + 3z + -8z = -39 + 8z + -8z

Combine like terms: 3z + -8z = -5z
7 + -5z = -39 + 8z + -8z

Combine like terms: 8z + -8z = 0
7 + -5z = -39 + 0
7 + -5z = -39

Add '-7' to each side of the equation.
7 + -7 + -5z = -39 + -7

Combine like terms: 7 + -7 = 0
0 + -5z = -39 + -7
-5z = -39 + -7

Combine like terms: -39 + -7 = -46
-5z = -46

Divide each side by '-5'.
z = 9.2

Simplifying
z = 9.2

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