4z+2=3(z-1)

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Solution for 4z+2=3(z-1) equation:


Simplifying
4z + 2 = 3(z + -1)

Reorder the terms:
2 + 4z = 3(z + -1)

Reorder the terms:
2 + 4z = 3(-1 + z)
2 + 4z = (-1 * 3 + z * 3)
2 + 4z = (-3 + 3z)

Solving
2 + 4z = -3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
2 + 4z + -3z = -3 + 3z + -3z

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

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

Add '-2' to each side of the equation.
2 + -2 + 1z = -3 + -2

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

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

Divide each side by '1'.
z = -5

Simplifying
z = -5

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