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

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


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

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

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

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

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

Solving
-15 + 12z = 6

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 + 12z = 6 + 15

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

Combine like terms: 6 + 15 = 21
12z = 21

Divide each side by '12'.
z = 1.75

Simplifying
z = 1.75

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