5z-16=2z+20

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Solution for 5z-16=2z+20 equation:


Simplifying
5z + -16 = 2z + 20

Reorder the terms:
-16 + 5z = 2z + 20

Reorder the terms:
-16 + 5z = 20 + 2z

Solving
-16 + 5z = 20 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-16 + 5z + -2z = 20 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-16 + 3z = 20 + 2z + -2z

Combine like terms: 2z + -2z = 0
-16 + 3z = 20 + 0
-16 + 3z = 20

Add '16' to each side of the equation.
-16 + 16 + 3z = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 3z = 20 + 16
3z = 20 + 16

Combine like terms: 20 + 16 = 36
3z = 36

Divide each side by '3'.
z = 12

Simplifying
z = 12

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