6+8z-1=9z+26-42

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Solution for 6+8z-1=9z+26-42 equation: 


Simplifying
6 + 8z + -1 = 9z + 26 + -42

Reorder the terms:
6 + -1 + 8z = 9z + 26 + -42

Combine like terms: 6 + -1 = 5
5 + 8z = 9z + 26 + -42

Reorder the terms:
5 + 8z = 26 + -42 + 9z

Combine like terms: 26 + -42 = -16
5 + 8z = -16 + 9z

Solving
5 + 8z = -16 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
5 + 8z + -9z = -16 + 9z + -9z

Combine like terms: 8z + -9z = -1z
5 + -1z = -16 + 9z + -9z

Combine like terms: 9z + -9z = 0
5 + -1z = -16 + 0
5 + -1z = -16

Add '-5' to each side of the equation.
5 + -5 + -1z = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = -16 + -5
-1z = -16 + -5

Combine like terms: -16 + -5 = -21
-1z = -21

Divide each side by '-1'.
z = 21

Simplifying
z = 21

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