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

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


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

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

Combine like terms: -4 + 12 = 8
8 + 12z = -6(z + 2) + 2

Reorder the terms:
8 + 12z = -6(2 + z) + 2
8 + 12z = (2 * -6 + z * -6) + 2
8 + 12z = (-12 + -6z) + 2

Reorder the terms:
8 + 12z = -12 + 2 + -6z

Combine like terms: -12 + 2 = -10
8 + 12z = -10 + -6z

Solving
8 + 12z = -10 + -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.
8 + 12z + 6z = -10 + -6z + 6z

Combine like terms: 12z + 6z = 18z
8 + 18z = -10 + -6z + 6z

Combine like terms: -6z + 6z = 0
8 + 18z = -10 + 0
8 + 18z = -10

Add '-8' to each side of the equation.
8 + -8 + 18z = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 18z = -10 + -8
18z = -10 + -8

Combine like terms: -10 + -8 = -18
18z = -18

Divide each side by '18'.
z = -1

Simplifying
z = -1

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