3(3z-3)-3(2-4z)=9

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Solution for 3(3z-3)-3(2-4z)=9 equation: 


Simplifying
3(3z + -3) + -3(2 + -4z) = 9

Reorder the terms:
3(-3 + 3z) + -3(2 + -4z) = 9
(-3 * 3 + 3z * 3) + -3(2 + -4z) = 9
(-9 + 9z) + -3(2 + -4z) = 9
-9 + 9z + (2 * -3 + -4z * -3) = 9
-9 + 9z + (-6 + 12z) = 9

Reorder the terms:
-9 + -6 + 9z + 12z = 9

Combine like terms: -9 + -6 = -15
-15 + 9z + 12z = 9

Combine like terms: 9z + 12z = 21z
-15 + 21z = 9

Solving
-15 + 21z = 9

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 21z = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 21z = 9 + 15
21z = 9 + 15

Combine like terms: 9 + 15 = 24
21z = 24

Divide each side by '21'.
z = 1.142857143

Simplifying
z = 1.142857143

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