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Simplifying 1.2q + -4.7 + -5.7q = 5.5q + -1.2 Reorder the terms: -4.7 + 1.2q + -5.7q = 5.5q + -1.2 Combine like terms: 1.2q + -5.7q = -4.5q -4.7 + -4.5q = 5.5q + -1.2 Reorder the terms: -4.7 + -4.5q = -1.2 + 5.5q Solving -4.7 + -4.5q = -1.2 + 5.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.5q' to each side of the equation. -4.7 + -4.5q + -5.5q = -1.2 + 5.5q + -5.5q Combine like terms: -4.5q + -5.5q = -10q -4.7 + -10q = -1.2 + 5.5q + -5.5q Combine like terms: 5.5q + -5.5q = 0.0 -4.7 + -10q = -1.2 + 0.0 -4.7 + -10q = -1.2 Add '4.7' to each side of the equation. -4.7 + 4.7 + -10q = -1.2 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -10q = -1.2 + 4.7 -10q = -1.2 + 4.7 Combine like terms: -1.2 + 4.7 = 3.5 -10q = 3.5 Divide each side by '-10'. q = -0.35 Simplifying q = -0.35
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