5z+8=z-40

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Solution for 5z+8=z-40 equation:


Simplifying
5z + 8 = z + -40

Reorder the terms:
8 + 5z = z + -40

Reorder the terms:
8 + 5z = -40 + z

Solving
8 + 5z = -40 + 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 + 5z + -1z = -40 + z + -1z

Combine like terms: 5z + -1z = 4z
8 + 4z = -40 + z + -1z

Combine like terms: z + -1z = 0
8 + 4z = -40 + 0
8 + 4z = -40

Add '-8' to each side of the equation.
8 + -8 + 4z = -40 + -8

Combine like terms: 8 + -8 = 0
0 + 4z = -40 + -8
4z = -40 + -8

Combine like terms: -40 + -8 = -48
4z = -48

Divide each side by '4'.
z = -12

Simplifying
z = -12

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