8z-5=5z+16

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Solution for 8z-5=5z+16 equation:


Simplifying
8z + -5 = 5z + 16

Reorder the terms:
-5 + 8z = 5z + 16

Reorder the terms:
-5 + 8z = 16 + 5z

Solving
-5 + 8z = 16 + 5z

Solving for variable 'z'.

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

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

Combine like terms: 8z + -5z = 3z
-5 + 3z = 16 + 5z + -5z

Combine like terms: 5z + -5z = 0
-5 + 3z = 16 + 0
-5 + 3z = 16

Add '5' to each side of the equation.
-5 + 5 + 3z = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 3z = 16 + 5
3z = 16 + 5

Combine like terms: 16 + 5 = 21
3z = 21

Divide each side by '3'.
z = 7

Simplifying
z = 7

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