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Simplifying 3.5q + -5.7 + -3.2q = 0.7q + -2.4 Reorder the terms: -5.7 + 3.5q + -3.2q = 0.7q + -2.4 Combine like terms: 3.5q + -3.2q = 0.3q -5.7 + 0.3q = 0.7q + -2.4 Reorder the terms: -5.7 + 0.3q = -2.4 + 0.7q Solving -5.7 + 0.3q = -2.4 + 0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.7q' to each side of the equation. -5.7 + 0.3q + -0.7q = -2.4 + 0.7q + -0.7q Combine like terms: 0.3q + -0.7q = -0.4q -5.7 + -0.4q = -2.4 + 0.7q + -0.7q Combine like terms: 0.7q + -0.7q = 0.0 -5.7 + -0.4q = -2.4 + 0.0 -5.7 + -0.4q = -2.4 Add '5.7' to each side of the equation. -5.7 + 5.7 + -0.4q = -2.4 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -0.4q = -2.4 + 5.7 -0.4q = -2.4 + 5.7 Combine like terms: -2.4 + 5.7 = 3.3 -0.4q = 3.3 Divide each side by '-0.4'. q = -8.25 Simplifying q = -8.25
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