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Simplifying 5.5q + -5.8 + -4.6q = -0.1 + -3.7 Reorder the terms: -5.8 + 5.5q + -4.6q = -0.1 + -3.7 Combine like terms: 5.5q + -4.6q = 0.9q -5.8 + 0.9q = -0.1 + -3.7 Combine like terms: -0.1 + -3.7 = -3.8 -5.8 + 0.9q = -3.8 Solving -5.8 + 0.9q = -3.8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + 0.9q = -3.8 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 0.9q = -3.8 + 5.8 0.9q = -3.8 + 5.8 Combine like terms: -3.8 + 5.8 = 2 0.9q = 2 Divide each side by '0.9'. q = 2.222222222 Simplifying q = 2.222222222
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