3+2z-1=8z+8-52

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Solution for 3+2z-1=8z+8-52 equation: 


Simplifying
3 + 2z + -1 = 8z + 8 + -52

Reorder the terms:
3 + -1 + 2z = 8z + 8 + -52

Combine like terms: 3 + -1 = 2
2 + 2z = 8z + 8 + -52

Reorder the terms:
2 + 2z = 8 + -52 + 8z

Combine like terms: 8 + -52 = -44
2 + 2z = -44 + 8z

Solving
2 + 2z = -44 + 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.
2 + 2z + -8z = -44 + 8z + -8z

Combine like terms: 2z + -8z = -6z
2 + -6z = -44 + 8z + -8z

Combine like terms: 8z + -8z = 0
2 + -6z = -44 + 0
2 + -6z = -44

Add '-2' to each side of the equation.
2 + -2 + -6z = -44 + -2

Combine like terms: 2 + -2 = 0
0 + -6z = -44 + -2
-6z = -44 + -2

Combine like terms: -44 + -2 = -46
-6z = -46

Divide each side by '-6'.
z = 7.666666667

Simplifying
z = 7.666666667

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