4(z-2)=z-13

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Solution for 4(z-2)=z-13 equation:


Simplifying
4(z + -2) = z + -13

Reorder the terms:
4(-2 + z) = z + -13
(-2 * 4 + z * 4) = z + -13
(-8 + 4z) = z + -13

Reorder the terms:
-8 + 4z = -13 + z

Solving
-8 + 4z = -13 + z

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.
-8 + 4z + -1z = -13 + z + -1z

Combine like terms: 4z + -1z = 3z
-8 + 3z = -13 + z + -1z

Combine like terms: z + -1z = 0
-8 + 3z = -13 + 0
-8 + 3z = -13

Add '8' to each side of the equation.
-8 + 8 + 3z = -13 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = -13 + 8
3z = -13 + 8

Combine like terms: -13 + 8 = -5
3z = -5

Divide each side by '3'.
z = -1.666666667

Simplifying
z = -1.666666667

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