10z-16=8z+10

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Solution for 10z-16=8z+10 equation:


Simplifying
10z + -16 = 8z + 10

Reorder the terms:
-16 + 10z = 8z + 10

Reorder the terms:
-16 + 10z = 10 + 8z

Solving
-16 + 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.
-16 + 10z + -8z = 10 + 8z + -8z

Combine like terms: 10z + -8z = 2z
-16 + 2z = 10 + 8z + -8z

Combine like terms: 8z + -8z = 0
-16 + 2z = 10 + 0
-16 + 2z = 10

Add '16' to each side of the equation.
-16 + 16 + 2z = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 2z = 10 + 16
2z = 10 + 16

Combine like terms: 10 + 16 = 26
2z = 26

Divide each side by '2'.
z = 13

Simplifying
z = 13

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