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Simplifying 1.1q + -5.8 + -1.6q = 1.5q + -5.5 Reorder the terms: -5.8 + 1.1q + -1.6q = 1.5q + -5.5 Combine like terms: 1.1q + -1.6q = -0.5q -5.8 + -0.5q = 1.5q + -5.5 Reorder the terms: -5.8 + -0.5q = -5.5 + 1.5q Solving -5.8 + -0.5q = -5.5 + 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. -5.8 + -0.5q + -1.5q = -5.5 + 1.5q + -1.5q Combine like terms: -0.5q + -1.5q = -2q -5.8 + -2q = -5.5 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 -5.8 + -2q = -5.5 + 0.0 -5.8 + -2q = -5.5 Add '5.8' to each side of the equation. -5.8 + 5.8 + -2q = -5.5 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -2q = -5.5 + 5.8 -2q = -5.5 + 5.8 Combine like terms: -5.5 + 5.8 = 0.3 -2q = 0.3 Divide each side by '-2'. q = -0.15 Simplifying q = -0.15
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