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

Combine like terms: 4z + z = 5z
-8 + 5z = -13

Solving
-8 + 5z = -13

Solving for variable 'z'.

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

Add '8' to each side of the equation.
-8 + 8 + 5z = -13 + 8

Combine like terms: -8 + 8 = 0
0 + 5z = -13 + 8
5z = -13 + 8

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

Divide each side by '5'.
z = -1

Simplifying
z = -1

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