3-2(6z-6)=4(z+2)-5

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Solution for 3-2(6z-6)=4(z+2)-5 equation: 


Simplifying
3 + -2(6z + -6) = 4(z + 2) + -5

Reorder the terms:
3 + -2(-6 + 6z) = 4(z + 2) + -5
3 + (-6 * -2 + 6z * -2) = 4(z + 2) + -5
3 + (12 + -12z) = 4(z + 2) + -5

Combine like terms: 3 + 12 = 15
15 + -12z = 4(z + 2) + -5

Reorder the terms:
15 + -12z = 4(2 + z) + -5
15 + -12z = (2 * 4 + z * 4) + -5
15 + -12z = (8 + 4z) + -5

Reorder the terms:
15 + -12z = 8 + -5 + 4z

Combine like terms: 8 + -5 = 3
15 + -12z = 3 + 4z

Solving
15 + -12z = 3 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
15 + -12z + -4z = 3 + 4z + -4z

Combine like terms: -12z + -4z = -16z
15 + -16z = 3 + 4z + -4z

Combine like terms: 4z + -4z = 0
15 + -16z = 3 + 0
15 + -16z = 3

Add '-15' to each side of the equation.
15 + -15 + -16z = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -16z = 3 + -15
-16z = 3 + -15

Combine like terms: 3 + -15 = -12
-16z = -12

Divide each side by '-16'.
z = 0.75

Simplifying
z = 0.75

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