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Simplifying 3.5q + -1.7 + -5.7q = 3.2q + -3.8 Reorder the terms: -1.7 + 3.5q + -5.7q = 3.2q + -3.8 Combine like terms: 3.5q + -5.7q = -2.2q -1.7 + -2.2q = 3.2q + -3.8 Reorder the terms: -1.7 + -2.2q = -3.8 + 3.2q Solving -1.7 + -2.2q = -3.8 + 3.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.2q' to each side of the equation. -1.7 + -2.2q + -3.2q = -3.8 + 3.2q + -3.2q Combine like terms: -2.2q + -3.2q = -5.4q -1.7 + -5.4q = -3.8 + 3.2q + -3.2q Combine like terms: 3.2q + -3.2q = 0.0 -1.7 + -5.4q = -3.8 + 0.0 -1.7 + -5.4q = -3.8 Add '1.7' to each side of the equation. -1.7 + 1.7 + -5.4q = -3.8 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -5.4q = -3.8 + 1.7 -5.4q = -3.8 + 1.7 Combine like terms: -3.8 + 1.7 = -2.1 -5.4q = -2.1 Divide each side by '-5.4'. q = 0.3888888889 Simplifying q = 0.3888888889
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