4z-5=1z+13

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Solution for 4z-5=1z+13 equation:


Simplifying
4z + -5 = 1z + 13

Reorder the terms:
-5 + 4z = 1z + 13

Reorder the terms:
-5 + 4z = 13 + 1z

Solving
-5 + 4z = 13 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-5 + 4z + -1z = 13 + 1z + -1z

Combine like terms: 4z + -1z = 3z
-5 + 3z = 13 + 1z + -1z

Combine like terms: 1z + -1z = 0
-5 + 3z = 13 + 0
-5 + 3z = 13

Add '5' to each side of the equation.
-5 + 5 + 3z = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3z = 13 + 5
3z = 13 + 5

Combine like terms: 13 + 5 = 18
3z = 18

Divide each side by '3'.
z = 6

Simplifying
z = 6

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