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Simplifying 5.6q + -2.8 + -5.5q = 0.9q + -1.9 Reorder the terms: -2.8 + 5.6q + -5.5q = 0.9q + -1.9 Combine like terms: 5.6q + -5.5q = 0.1q -2.8 + 0.1q = 0.9q + -1.9 Reorder the terms: -2.8 + 0.1q = -1.9 + 0.9q Solving -2.8 + 0.1q = -1.9 + 0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.9q' to each side of the equation. -2.8 + 0.1q + -0.9q = -1.9 + 0.9q + -0.9q Combine like terms: 0.1q + -0.9q = -0.8q -2.8 + -0.8q = -1.9 + 0.9q + -0.9q Combine like terms: 0.9q + -0.9q = 0.0 -2.8 + -0.8q = -1.9 + 0.0 -2.8 + -0.8q = -1.9 Add '2.8' to each side of the equation. -2.8 + 2.8 + -0.8q = -1.9 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -0.8q = -1.9 + 2.8 -0.8q = -1.9 + 2.8 Combine like terms: -1.9 + 2.8 = 0.9 -0.8q = 0.9 Divide each side by '-0.8'. q = -1.125 Simplifying q = -1.125
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