-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 + -1(6z + -2)

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

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

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

Combine like terms: 8 + 2 = 10
10 + -2z + -3z = -2 + -1(6z + -2)

Combine like terms: -2z + -3z = -5z
10 + -5z = -2 + -1(6z + -2)

Reorder the terms:
10 + -5z = -2 + -1(-2 + 6z)
10 + -5z = -2 + (-2 * -1 + 6z * -1)
10 + -5z = -2 + (2 + -6z)

Combine like terms: -2 + 2 = 0
10 + -5z = 0 + -6z
10 + -5z = -6z

Solving
10 + -5z = -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
10 + -5z + 6z = -6z + 6z

Combine like terms: -5z + 6z = 1z
10 + 1z = -6z + 6z

Combine like terms: -6z + 6z = 0
10 + 1z = 0

Add '-10' to each side of the equation.
10 + -10 + 1z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 0 + -10
1z = 0 + -10

Combine like terms: 0 + -10 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10

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