4z+2=z-5

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Solution for 4z+2=z-5 equation:


Simplifying
4z + 2 = z + -5

Reorder the terms:
2 + 4z = z + -5

Reorder the terms:
2 + 4z = -5 + z

Solving
2 + 4z = -5 + 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.
2 + 4z + -1z = -5 + z + -1z

Combine like terms: 4z + -1z = 3z
2 + 3z = -5 + z + -1z

Combine like terms: z + -1z = 0
2 + 3z = -5 + 0
2 + 3z = -5

Add '-2' to each side of the equation.
2 + -2 + 3z = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 3z = -5 + -2
3z = -5 + -2

Combine like terms: -5 + -2 = -7
3z = -7

Divide each side by '3'.
z = -2.333333333

Simplifying
z = -2.333333333

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