-5+6(-3z-2)=-2(6z-9)+2

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Solution for -5+6(-3z-2)=-2(6z-9)+2 equation: 


Simplifying
-5 + 6(-3z + -2) = -2(6z + -9) + 2

Reorder the terms:
-5 + 6(-2 + -3z) = -2(6z + -9) + 2
-5 + (-2 * 6 + -3z * 6) = -2(6z + -9) + 2
-5 + (-12 + -18z) = -2(6z + -9) + 2

Combine like terms: -5 + -12 = -17
-17 + -18z = -2(6z + -9) + 2

Reorder the terms:
-17 + -18z = -2(-9 + 6z) + 2
-17 + -18z = (-9 * -2 + 6z * -2) + 2
-17 + -18z = (18 + -12z) + 2

Reorder the terms:
-17 + -18z = 18 + 2 + -12z

Combine like terms: 18 + 2 = 20
-17 + -18z = 20 + -12z

Solving
-17 + -18z = 20 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
-17 + -18z + 12z = 20 + -12z + 12z

Combine like terms: -18z + 12z = -6z
-17 + -6z = 20 + -12z + 12z

Combine like terms: -12z + 12z = 0
-17 + -6z = 20 + 0
-17 + -6z = 20

Add '17' to each side of the equation.
-17 + 17 + -6z = 20 + 17

Combine like terms: -17 + 17 = 0
0 + -6z = 20 + 17
-6z = 20 + 17

Combine like terms: 20 + 17 = 37
-6z = 37

Divide each side by '-6'.
z = -6.166666667

Simplifying
z = -6.166666667

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