3(5-6z)=-14-2(1+2z)+2

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Solution for 3(5-6z)=-14-2(1+2z)+2 equation: 


Simplifying
3(5 + -6z) = -14 + -2(1 + 2z) + 2
(5 * 3 + -6z * 3) = -14 + -2(1 + 2z) + 2
(15 + -18z) = -14 + -2(1 + 2z) + 2
15 + -18z = -14 + (1 * -2 + 2z * -2) + 2
15 + -18z = -14 + (-2 + -4z) + 2

Reorder the terms:
15 + -18z = -14 + -2 + 2 + -4z

Combine like terms: -14 + -2 = -16
15 + -18z = -16 + 2 + -4z

Combine like terms: -16 + 2 = -14
15 + -18z = -14 + -4z

Solving
15 + -18z = -14 + -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 + -18z + 4z = -14 + -4z + 4z

Combine like terms: -18z + 4z = -14z
15 + -14z = -14 + -4z + 4z

Combine like terms: -4z + 4z = 0
15 + -14z = -14 + 0
15 + -14z = -14

Add '-15' to each side of the equation.
15 + -15 + -14z = -14 + -15

Combine like terms: 15 + -15 = 0
0 + -14z = -14 + -15
-14z = -14 + -15

Combine like terms: -14 + -15 = -29
-14z = -29

Divide each side by '-14'.
z = 2.071428571

Simplifying
z = 2.071428571

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