6z-5=2z+13

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Solution for 6z-5=2z+13 equation:


Simplifying
6z + -5 = 2z + 13

Reorder the terms:
-5 + 6z = 2z + 13

Reorder the terms:
-5 + 6z = 13 + 2z

Solving
-5 + 6z = 13 + 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.
-5 + 6z + -2z = 13 + 2z + -2z

Combine like terms: 6z + -2z = 4z
-5 + 4z = 13 + 2z + -2z

Combine like terms: 2z + -2z = 0
-5 + 4z = 13 + 0
-5 + 4z = 13

Add '5' to each side of the equation.
-5 + 5 + 4z = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 4z = 13 + 5
4z = 13 + 5

Combine like terms: 13 + 5 = 18
4z = 18

Divide each side by '4'.
z = 4.5

Simplifying
z = 4.5

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