9-4(6+7x-9x)+7z-8x+4z-9=150

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Solution for 9-4(6+7x-9x)+7z-8x+4z-9=150 equation: 


Simplifying
9 + -4(6 + 7x + -9x) + 7z + -8x + 4z + -9 = 150

Combine like terms: 7x + -9x = -2x
9 + -4(6 + -2x) + 7z + -8x + 4z + -9 = 150
9 + (6 * -4 + -2x * -4) + 7z + -8x + 4z + -9 = 150
9 + (-24 + 8x) + 7z + -8x + 4z + -9 = 150

Reorder the terms:
9 + -24 + -9 + 8x + -8x + 7z + 4z = 150

Combine like terms: 9 + -24 = -15
-15 + -9 + 8x + -8x + 7z + 4z = 150

Combine like terms: -15 + -9 = -24
-24 + 8x + -8x + 7z + 4z = 150

Combine like terms: 8x + -8x = 0
-24 + 0 + 7z + 4z = 150
-24 + 7z + 4z = 150

Combine like terms: 7z + 4z = 11z
-24 + 11z = 150

Solving
-24 + 11z = 150

Solving for variable 'z'.

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

Add '24' to each side of the equation.
-24 + 24 + 11z = 150 + 24

Combine like terms: -24 + 24 = 0
0 + 11z = 150 + 24
11z = 150 + 24

Combine like terms: 150 + 24 = 174
11z = 174

Divide each side by '11'.
z = 15.81818182

Simplifying
z = 15.81818182

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