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Simplifying 9q + -3(6 + -5q) = q + -0.33(6q + 9) 9q + (6 * -3 + -5q * -3) = q + -0.33(6q + 9) 9q + (-18 + 15q) = q + -0.33(6q + 9) Reorder the terms: -18 + 9q + 15q = q + -0.33(6q + 9) Combine like terms: 9q + 15q = 24q -18 + 24q = q + -0.33(6q + 9) Reorder the terms: -18 + 24q = q + -0.33(9 + 6q) -18 + 24q = q + (9 * -0.33 + 6q * -0.33) -18 + 24q = q + (-2.97 + -1.98q) Reorder the terms: -18 + 24q = -2.97 + q + -1.98q Combine like terms: q + -1.98q = -0.98q -18 + 24q = -2.97 + -0.98q Solving -18 + 24q = -2.97 + -0.98q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.98q' to each side of the equation. -18 + 24q + 0.98q = -2.97 + -0.98q + 0.98q Combine like terms: 24q + 0.98q = 24.98q -18 + 24.98q = -2.97 + -0.98q + 0.98q Combine like terms: -0.98q + 0.98q = 0.00 -18 + 24.98q = -2.97 + 0.00 -18 + 24.98q = -2.97 Add '18' to each side of the equation. -18 + 18 + 24.98q = -2.97 + 18 Combine like terms: -18 + 18 = 0 0 + 24.98q = -2.97 + 18 24.98q = -2.97 + 18 Combine like terms: -2.97 + 18 = 15.03 24.98q = 15.03 Divide each side by '24.98'. q = 0.6016813451 Simplifying q = 0.6016813451
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