10z-22=8z-10

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Solution for 10z-22=8z-10 equation:


Simplifying
10z + -22 = 8z + -10

Reorder the terms:
-22 + 10z = 8z + -10

Reorder the terms:
-22 + 10z = -10 + 8z

Solving
-22 + 10z = -10 + 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.
-22 + 10z + -8z = -10 + 8z + -8z

Combine like terms: 10z + -8z = 2z
-22 + 2z = -10 + 8z + -8z

Combine like terms: 8z + -8z = 0
-22 + 2z = -10 + 0
-22 + 2z = -10

Add '22' to each side of the equation.
-22 + 22 + 2z = -10 + 22

Combine like terms: -22 + 22 = 0
0 + 2z = -10 + 22
2z = -10 + 22

Combine like terms: -10 + 22 = 12
2z = 12

Divide each side by '2'.
z = 6

Simplifying
z = 6

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