z+2=4z-2

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


Simplifying
z + 2 = 4z + -2

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

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

Solving
2 + z = -2 + 4z

Solving for variable 'z'.

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

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

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

Combine like terms: 4z + -4z = 0
2 + -3z = -2 + 0
2 + -3z = -2

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

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

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

Divide each side by '-3'.
z = 1.333333333

Simplifying
z = 1.333333333

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