2(z-1)+4z=-z+(2z-1)

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Solution for 2(z-1)+4z=-z+(2z-1) equation:


Simplifying
2(z + -1) + 4z = -1z + (2z + -1)

Reorder the terms:
2(-1 + z) + 4z = -1z + (2z + -1)
(-1 * 2 + z * 2) + 4z = -1z + (2z + -1)
(-2 + 2z) + 4z = -1z + (2z + -1)

Combine like terms: 2z + 4z = 6z
-2 + 6z = -1z + (2z + -1)

Reorder the terms:
-2 + 6z = -1z + (-1 + 2z)

Remove parenthesis around (-1 + 2z)
-2 + 6z = -1z + -1 + 2z

Reorder the terms:
-2 + 6z = -1 + -1z + 2z

Combine like terms: -1z + 2z = 1z
-2 + 6z = -1 + 1z

Solving
-2 + 6z = -1 + 1z

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 + 6z + -1z = -1 + 1z + -1z

Combine like terms: 6z + -1z = 5z
-2 + 5z = -1 + 1z + -1z

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

Add '2' to each side of the equation.
-2 + 2 + 5z = -1 + 2

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

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

Divide each side by '5'.
z = 0.2

Simplifying
z = 0.2

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