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Simplifying 5.7q + -3.1 + -5.2q = -0.5q + -1.2 Reorder the terms: -3.1 + 5.7q + -5.2q = -0.5q + -1.2 Combine like terms: 5.7q + -5.2q = 0.5q -3.1 + 0.5q = -0.5q + -1.2 Reorder the terms: -3.1 + 0.5q = -1.2 + -0.5q Solving -3.1 + 0.5q = -1.2 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. -3.1 + 0.5q + 0.5q = -1.2 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -3.1 + 1q = -1.2 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -3.1 + 1q = -1.2 + 0.0 -3.1 + 1q = -1.2 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -1.2 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -1.2 + 3.1 1q = -1.2 + 3.1 Combine like terms: -1.2 + 3.1 = 1.9 1q = 1.9 Divide each side by '1'. q = 1.9 Simplifying q = 1.9
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