-2(z-4)-(3z-2)=-2(-6z+2)

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Solution for -2(z-4)-(3z-2)=-2(-6z+2) equation:


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

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

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

Reorder the terms:
8 + 2 + -2z + -3z = -2(-6z + 2)

Combine like terms: 8 + 2 = 10
10 + -2z + -3z = -2(-6z + 2)

Combine like terms: -2z + -3z = -5z
10 + -5z = -2(-6z + 2)

Reorder the terms:
10 + -5z = -2(2 + -6z)
10 + -5z = (2 * -2 + -6z * -2)
10 + -5z = (-4 + 12z)

Solving
10 + -5z = -4 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
10 + -5z + -12z = -4 + 12z + -12z

Combine like terms: -5z + -12z = -17z
10 + -17z = -4 + 12z + -12z

Combine like terms: 12z + -12z = 0
10 + -17z = -4 + 0
10 + -17z = -4

Add '-10' to each side of the equation.
10 + -10 + -17z = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -17z = -4 + -10
-17z = -4 + -10

Combine like terms: -4 + -10 = -14
-17z = -14

Divide each side by '-17'.
z = 0.8235294118

Simplifying
z = 0.8235294118

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