5z-16=3z+8

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Solution for 5z-16=3z+8 equation:


Simplifying
5z + -16 = 3z + 8

Reorder the terms:
-16 + 5z = 3z + 8

Reorder the terms:
-16 + 5z = 8 + 3z

Solving
-16 + 5z = 8 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-16 + 5z + -3z = 8 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-16 + 2z = 8 + 3z + -3z

Combine like terms: 3z + -3z = 0
-16 + 2z = 8 + 0
-16 + 2z = 8

Add '16' to each side of the equation.
-16 + 16 + 2z = 8 + 16

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

Combine like terms: 8 + 16 = 24
2z = 24

Divide each side by '2'.
z = 12

Simplifying
z = 12

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