9q-5(q-3)=5q

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Solution for 9q-5(q-3)=5q equation:


Simplifying
9q + -5(q + -3) = 5q

Reorder the terms:
9q + -5(-3 + q) = 5q
9q + (-3 * -5 + q * -5) = 5q
9q + (15 + -5q) = 5q

Reorder the terms:
15 + 9q + -5q = 5q

Combine like terms: 9q + -5q = 4q
15 + 4q = 5q

Solving
15 + 4q = 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
15 + 4q + -5q = 5q + -5q

Combine like terms: 4q + -5q = -1q
15 + -1q = 5q + -5q

Combine like terms: 5q + -5q = 0
15 + -1q = 0

Add '-15' to each side of the equation.
15 + -15 + -1q = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1q = 0 + -15
-1q = 0 + -15

Combine like terms: 0 + -15 = -15
-1q = -15

Divide each side by '-1'.
q = 15

Simplifying
q = 15

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