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Simplifying 4.5q + -1.1 + -5.5q = -2.0q + -3.7 Reorder the terms: -1.1 + 4.5q + -5.5q = -2.0q + -3.7 Combine like terms: 4.5q + -5.5q = -1q -1.1 + -1q = -2.0q + -3.7 Reorder the terms: -1.1 + -1q = -3.7 + -2.0q Solving -1.1 + -1q = -3.7 + -2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.0q' to each side of the equation. -1.1 + -1q + 2.0q = -3.7 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -1.1 + 1q = -3.7 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -1.1 + 1q = -3.7 + 0.0 -1.1 + 1q = -3.7 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -3.7 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -3.7 + 1.1 1q = -3.7 + 1.1 Combine like terms: -3.7 + 1.1 = -2.6 1q = -2.6 Divide each side by '1'. q = -2.6 Simplifying q = -2.6
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