2(3z-1)-2(5-3z)=2

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Solution for 2(3z-1)-2(5-3z)=2 equation: 


Simplifying
2(3z + -1) + -2(5 + -3z) = 2

Reorder the terms:
2(-1 + 3z) + -2(5 + -3z) = 2
(-1 * 2 + 3z * 2) + -2(5 + -3z) = 2
(-2 + 6z) + -2(5 + -3z) = 2
-2 + 6z + (5 * -2 + -3z * -2) = 2
-2 + 6z + (-10 + 6z) = 2

Reorder the terms:
-2 + -10 + 6z + 6z = 2

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

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

Solving
-12 + 12z = 2

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 12z = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 12z = 2 + 12
12z = 2 + 12

Combine like terms: 2 + 12 = 14
12z = 14

Divide each side by '12'.
z = 1.166666667

Simplifying
z = 1.166666667

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