15q-3(4q-6)=3q+9+9q

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Solution for 15q-3(4q-6)=3q+9+9q equation:


Simplifying
15q + -3(4q + -6) = 3q + 9 + 9q

Reorder the terms:
15q + -3(-6 + 4q) = 3q + 9 + 9q
15q + (-6 * -3 + 4q * -3) = 3q + 9 + 9q
15q + (18 + -12q) = 3q + 9 + 9q

Reorder the terms:
18 + 15q + -12q = 3q + 9 + 9q

Combine like terms: 15q + -12q = 3q
18 + 3q = 3q + 9 + 9q

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

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

Solving
18 + 3q = 9 + 12q

Solving for variable 'q'.

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

Add '-12q' to each side of the equation.
18 + 3q + -12q = 9 + 12q + -12q

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

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

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

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

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

Divide each side by '-9'.
q = 1

Simplifying
q = 1

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