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

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


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

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

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

Combine like terms: -9 + -9 = -18
-18 + 6z + 6z = 9

Combine like terms: 6z + 6z = 12z
-18 + 12z = 9

Solving
-18 + 12z = 9

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 12z = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 12z = 9 + 18
12z = 9 + 18

Combine like terms: 9 + 18 = 27
12z = 27

Divide each side by '12'.
z = 2.25

Simplifying
z = 2.25

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