5z+5=z-2

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Solution for 5z+5=z-2 equation:


Simplifying
5z + 5 = z + -2

Reorder the terms:
5 + 5z = z + -2

Reorder the terms:
5 + 5z = -2 + z

Solving
5 + 5z = -2 + 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.
5 + 5z + -1z = -2 + z + -1z

Combine like terms: 5z + -1z = 4z
5 + 4z = -2 + z + -1z

Combine like terms: z + -1z = 0
5 + 4z = -2 + 0
5 + 4z = -2

Add '-5' to each side of the equation.
5 + -5 + 4z = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 4z = -2 + -5
4z = -2 + -5

Combine like terms: -2 + -5 = -7
4z = -7

Divide each side by '4'.
z = -1.75

Simplifying
z = -1.75

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