z-(4z-5)=8

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Solution for z-(4z-5)=8 equation:


Simplifying
z + -1(4z + -5) = 8

Reorder the terms:
z + -1(-5 + 4z) = 8
z + (-5 * -1 + 4z * -1) = 8
z + (5 + -4z) = 8

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

Combine like terms: z + -4z = -3z
5 + -3z = 8

Solving
5 + -3z = 8

Solving for variable 'z'.

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

Add '-5' to each side of the equation.
5 + -5 + -3z = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -3z = 8 + -5
-3z = 8 + -5

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

Divide each side by '-3'.
z = -1

Simplifying
z = -1

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