-9(3z-6)=35-5z

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Solution for -9(3z-6)=35-5z equation:


Simplifying
-9(3z + -6) = 35 + -5z

Reorder the terms:
-9(-6 + 3z) = 35 + -5z
(-6 * -9 + 3z * -9) = 35 + -5z
(54 + -27z) = 35 + -5z

Solving
54 + -27z = 35 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
54 + -27z + 5z = 35 + -5z + 5z

Combine like terms: -27z + 5z = -22z
54 + -22z = 35 + -5z + 5z

Combine like terms: -5z + 5z = 0
54 + -22z = 35 + 0
54 + -22z = 35

Add '-54' to each side of the equation.
54 + -54 + -22z = 35 + -54

Combine like terms: 54 + -54 = 0
0 + -22z = 35 + -54
-22z = 35 + -54

Combine like terms: 35 + -54 = -19
-22z = -19

Divide each side by '-22'.
z = 0.8636363636

Simplifying
z = 0.8636363636

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