4(Z-2)-(3Z-1)=2Z-6

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Solution for 4(Z-2)-(3Z-1)=2Z-6 equation: 


Simplifying
4(Z + -2) + -1(3Z + -1) = 2Z + -6

Reorder the terms:
4(-2 + Z) + -1(3Z + -1) = 2Z + -6
(-2 * 4 + Z * 4) + -1(3Z + -1) = 2Z + -6
(-8 + 4Z) + -1(3Z + -1) = 2Z + -6

Reorder the terms:
-8 + 4Z + -1(-1 + 3Z) = 2Z + -6
-8 + 4Z + (-1 * -1 + 3Z * -1) = 2Z + -6
-8 + 4Z + (1 + -3Z) = 2Z + -6

Reorder the terms:
-8 + 1 + 4Z + -3Z = 2Z + -6

Combine like terms: -8 + 1 = -7
-7 + 4Z + -3Z = 2Z + -6

Combine like terms: 4Z + -3Z = 1Z
-7 + 1Z = 2Z + -6

Reorder the terms:
-7 + 1Z = -6 + 2Z

Solving
-7 + 1Z = -6 + 2Z

Solving for variable 'Z'.

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

Add '-2Z' to each side of the equation.
-7 + 1Z + -2Z = -6 + 2Z + -2Z

Combine like terms: 1Z + -2Z = -1Z
-7 + -1Z = -6 + 2Z + -2Z

Combine like terms: 2Z + -2Z = 0
-7 + -1Z = -6 + 0
-7 + -1Z = -6

Add '7' to each side of the equation.
-7 + 7 + -1Z = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -1Z = -6 + 7
-1Z = -6 + 7

Combine like terms: -6 + 7 = 1
-1Z = 1

Divide each side by '-1'.
Z = -1

Simplifying
Z = -1

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