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

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


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

Reorder the terms:
15q + -4(-6 + 4q) = 3q + 9 + -9q
15q + (-6 * -4 + 4q * -4) = 3q + 9 + -9q
15q + (24 + -16q) = 3q + 9 + -9q

Reorder the terms:
24 + 15q + -16q = 3q + 9 + -9q

Combine like terms: 15q + -16q = -1q
24 + -1q = 3q + 9 + -9q

Reorder the terms:
24 + -1q = 9 + 3q + -9q

Combine like terms: 3q + -9q = -6q
24 + -1q = 9 + -6q

Solving
24 + -1q = 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.
24 + -1q + 6q = 9 + -6q + 6q

Combine like terms: -1q + 6q = 5q
24 + 5q = 9 + -6q + 6q

Combine like terms: -6q + 6q = 0
24 + 5q = 9 + 0
24 + 5q = 9

Add '-24' to each side of the equation.
24 + -24 + 5q = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 5q = 9 + -24
5q = 9 + -24

Combine like terms: 9 + -24 = -15
5q = -15

Divide each side by '5'.
q = -3

Simplifying
q = -3

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