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Simplifying -5q + -2(q + -48) = 9q Reorder the terms: -5q + -2(-48 + q) = 9q -5q + (-48 * -2 + q * -2) = 9q -5q + (96 + -2q) = 9q Reorder the terms: 96 + -5q + -2q = 9q Combine like terms: -5q + -2q = -7q 96 + -7q = 9q Solving 96 + -7q = 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 96 + -7q + -9q = 9q + -9q Combine like terms: -7q + -9q = -16q 96 + -16q = 9q + -9q Combine like terms: 9q + -9q = 0 96 + -16q = 0 Add '-96' to each side of the equation. 96 + -96 + -16q = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -16q = 0 + -96 -16q = 0 + -96 Combine like terms: 0 + -96 = -96 -16q = -96 Divide each side by '-16'. q = 6 Simplifying q = 6
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