3(4q-6)=3q+9-9q

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Solution for 3(4q-6)=3q+9-9q equation:


Simplifying
3(4q + -6) = 3q + 9 + -9q

Reorder the terms:
3(-6 + 4q) = 3q + 9 + -9q
(-6 * 3 + 4q * 3) = 3q + 9 + -9q
(-18 + 12q) = 3q + 9 + -9q

Reorder the terms:
-18 + 12q = 9 + 3q + -9q

Combine like terms: 3q + -9q = -6q
-18 + 12q = 9 + -6q

Solving
-18 + 12q = 9 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
-18 + 12q + 6q = 9 + -6q + 6q

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

Combine like terms: -6q + 6q = 0
-18 + 18q = 9 + 0
-18 + 18q = 9

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

Combine like terms: -18 + 18 = 0
0 + 18q = 9 + 18
18q = 9 + 18

Combine like terms: 9 + 18 = 27
18q = 27

Divide each side by '18'.
q = 1.5

Simplifying
q = 1.5

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