2+3(2z-5)-3(4z+7)-6=

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Solution for 2+3(2z-5)-3(4z+7)-6= equation: 


Simplifying
2 + 3(2z + -5) + -3(4z + 7) + -6 = 0

Reorder the terms:
2 + 3(-5 + 2z) + -3(4z + 7) + -6 = 0
2 + (-5 * 3 + 2z * 3) + -3(4z + 7) + -6 = 0
2 + (-15 + 6z) + -3(4z + 7) + -6 = 0

Reorder the terms:
2 + -15 + 6z + -3(7 + 4z) + -6 = 0
2 + -15 + 6z + (7 * -3 + 4z * -3) + -6 = 0
2 + -15 + 6z + (-21 + -12z) + -6 = 0

Reorder the terms:
2 + -15 + -21 + -6 + 6z + -12z = 0

Combine like terms: 2 + -15 = -13
-13 + -21 + -6 + 6z + -12z = 0

Combine like terms: -13 + -21 = -34
-34 + -6 + 6z + -12z = 0

Combine like terms: -34 + -6 = -40
-40 + 6z + -12z = 0

Combine like terms: 6z + -12z = -6z
-40 + -6z = 0

Solving
-40 + -6z = 0

Solving for variable 'z'.

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

Add '40' to each side of the equation.
-40 + 40 + -6z = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -6z = 0 + 40
-6z = 0 + 40

Combine like terms: 0 + 40 = 40
-6z = 40

Divide each side by '-6'.
z = -6.666666667

Simplifying
z = -6.666666667

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