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Simplifying -9.9q + 1.6 = 82.4 + -1.5q Reorder the terms: 1.6 + -9.9q = 82.4 + -1.5q Solving 1.6 + -9.9q = 82.4 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. 1.6 + -9.9q + 1.5q = 82.4 + -1.5q + 1.5q Combine like terms: -9.9q + 1.5q = -8.4q 1.6 + -8.4q = 82.4 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 1.6 + -8.4q = 82.4 + 0.0 1.6 + -8.4q = 82.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -8.4q = 82.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -8.4q = 82.4 + -1.6 -8.4q = 82.4 + -1.6 Combine like terms: 82.4 + -1.6 = 80.8 -8.4q = 80.8 Divide each side by '-8.4'. q = -9.619047619 Simplifying q = -9.619047619
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