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

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


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

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

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

Combine like terms: 3z + 4z = 7z
-2 + 2z = -3 + 7z

Solving
-2 + 2z = -3 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-2 + 2z + -7z = -3 + 7z + -7z

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

Combine like terms: 7z + -7z = 0
-2 + -5z = -3 + 0
-2 + -5z = -3

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

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

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

Divide each side by '-5'.
z = 0.2

Simplifying
z = 0.2

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