12z-16=6z+13

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Solution for 12z-16=6z+13 equation:


Simplifying
12z + -16 = 6z + 13

Reorder the terms:
-16 + 12z = 6z + 13

Reorder the terms:
-16 + 12z = 13 + 6z

Solving
-16 + 12z = 13 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-16 + 12z + -6z = 13 + 6z + -6z

Combine like terms: 12z + -6z = 6z
-16 + 6z = 13 + 6z + -6z

Combine like terms: 6z + -6z = 0
-16 + 6z = 13 + 0
-16 + 6z = 13

Add '16' to each side of the equation.
-16 + 16 + 6z = 13 + 16

Combine like terms: -16 + 16 = 0
0 + 6z = 13 + 16
6z = 13 + 16

Combine like terms: 13 + 16 = 29
6z = 29

Divide each side by '6'.
z = 4.833333333

Simplifying
z = 4.833333333

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