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Simplifying 4.2q + -3.8 + -5.7q = -2.5q + -3.2 Reorder the terms: -3.8 + 4.2q + -5.7q = -2.5q + -3.2 Combine like terms: 4.2q + -5.7q = -1.5q -3.8 + -1.5q = -2.5q + -3.2 Reorder the terms: -3.8 + -1.5q = -3.2 + -2.5q Solving -3.8 + -1.5q = -3.2 + -2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.5q' to each side of the equation. -3.8 + -1.5q + 2.5q = -3.2 + -2.5q + 2.5q Combine like terms: -1.5q + 2.5q = 1q -3.8 + 1q = -3.2 + -2.5q + 2.5q Combine like terms: -2.5q + 2.5q = 0.0 -3.8 + 1q = -3.2 + 0.0 -3.8 + 1q = -3.2 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -3.2 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -3.2 + 3.8 1q = -3.2 + 3.8 Combine like terms: -3.2 + 3.8 = 0.6 1q = 0.6 Divide each side by '1'. q = 0.6 Simplifying q = 0.6
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