3(2z-1)-3(3-3z)=6

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Solution for 3(2z-1)-3(3-3z)=6 equation:


Simplifying
3(2z + -1) + -3(3 + -3z) = 6

Reorder the terms:
3(-1 + 2z) + -3(3 + -3z) = 6
(-1 * 3 + 2z * 3) + -3(3 + -3z) = 6
(-3 + 6z) + -3(3 + -3z) = 6
-3 + 6z + (3 * -3 + -3z * -3) = 6
-3 + 6z + (-9 + 9z) = 6

Reorder the terms:
-3 + -9 + 6z + 9z = 6

Combine like terms: -3 + -9 = -12
-12 + 6z + 9z = 6

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

Solving
-12 + 15z = 6

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 15z = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 15z = 6 + 12
15z = 6 + 12

Combine like terms: 6 + 12 = 18
15z = 18

Divide each side by '15'.
z = 1.2

Simplifying
z = 1.2

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