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Simplifying 1.6q + -5.5q + 1.3 = -29.9 Reorder the terms: 1.3 + 1.6q + -5.5q = -29.9 Combine like terms: 1.6q + -5.5q = -3.9q 1.3 + -3.9q = -29.9 Solving 1.3 + -3.9q = -29.9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + -3.9q = -29.9 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -3.9q = -29.9 + -1.3 -3.9q = -29.9 + -1.3 Combine like terms: -29.9 + -1.3 = -31.2 -3.9q = -31.2 Divide each side by '-3.9'. q = 8 Simplifying q = 8
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