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Simplifying 4.5q + -4.7 + -5.5q = -2.0q + -1.2 Reorder the terms: -4.7 + 4.5q + -5.5q = -2.0q + -1.2 Combine like terms: 4.5q + -5.5q = -1q -4.7 + -1q = -2.0q + -1.2 Reorder the terms: -4.7 + -1q = -1.2 + -2.0q Solving -4.7 + -1q = -1.2 + -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. -4.7 + -1q + 2.0q = -1.2 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -4.7 + 1q = -1.2 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -4.7 + 1q = -1.2 + 0.0 -4.7 + 1q = -1.2 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -1.2 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -1.2 + 4.7 1q = -1.2 + 4.7 Combine like terms: -1.2 + 4.7 = 3.5 1q = 3.5 Divide each side by '1'. q = 3.5 Simplifying q = 3.5
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