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

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


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

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

Combine like terms: 15 + 18 = 33
33 + -12q = 3q + 9 + -9q

Reorder the terms:
33 + -12q = 9 + 3q + -9q

Combine like terms: 3q + -9q = -6q
33 + -12q = 9 + -6q

Solving
33 + -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.
33 + -12q + 6q = 9 + -6q + 6q

Combine like terms: -12q + 6q = -6q
33 + -6q = 9 + -6q + 6q

Combine like terms: -6q + 6q = 0
33 + -6q = 9 + 0
33 + -6q = 9

Add '-33' to each side of the equation.
33 + -33 + -6q = 9 + -33

Combine like terms: 33 + -33 = 0
0 + -6q = 9 + -33
-6q = 9 + -33

Combine like terms: 9 + -33 = -24
-6q = -24

Divide each side by '-6'.
q = 4

Simplifying
q = 4

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