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Simplifying 5.2q + -2.5 + -5.7q = -1.5q + -3.1 Reorder the terms: -2.5 + 5.2q + -5.7q = -1.5q + -3.1 Combine like terms: 5.2q + -5.7q = -0.5q -2.5 + -0.5q = -1.5q + -3.1 Reorder the terms: -2.5 + -0.5q = -3.1 + -1.5q Solving -2.5 + -0.5q = -3.1 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -2.5 + -0.5q + 1.5q = -3.1 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -2.5 + 1q = -3.1 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -2.5 + 1q = -3.1 + 0.0 -2.5 + 1q = -3.1 Add '2.5' to each side of the equation. -2.5 + 2.5 + 1q = -3.1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1q = -3.1 + 2.5 1q = -3.1 + 2.5 Combine like terms: -3.1 + 2.5 = -0.6 1q = -0.6 Divide each side by '1'. q = -0.6 Simplifying q = -0.6
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