-3(2z-8)-2(z-8)-9z=

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Solution for -3(2z-8)-2(z-8)-9z= equation:


Simplifying
-3(2z + -8) + -2(z + -8) + -9z = 0

Reorder the terms:
-3(-8 + 2z) + -2(z + -8) + -9z = 0
(-8 * -3 + 2z * -3) + -2(z + -8) + -9z = 0
(24 + -6z) + -2(z + -8) + -9z = 0

Reorder the terms:
24 + -6z + -2(-8 + z) + -9z = 0
24 + -6z + (-8 * -2 + z * -2) + -9z = 0
24 + -6z + (16 + -2z) + -9z = 0

Reorder the terms:
24 + 16 + -6z + -2z + -9z = 0

Combine like terms: 24 + 16 = 40
40 + -6z + -2z + -9z = 0

Combine like terms: -6z + -2z = -8z
40 + -8z + -9z = 0

Combine like terms: -8z + -9z = -17z
40 + -17z = 0

Solving
40 + -17z = 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 + -17z = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -17z = 0 + -40
-17z = 0 + -40

Combine like terms: 0 + -40 = -40
-17z = -40

Divide each side by '-17'.
z = 2.352941176

Simplifying
z = 2.352941176

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