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Simplifying 5.2q + -3.9 + -4.7q = -0.5q + -5.2 Reorder the terms: -3.9 + 5.2q + -4.7q = -0.5q + -5.2 Combine like terms: 5.2q + -4.7q = 0.5q -3.9 + 0.5q = -0.5q + -5.2 Reorder the terms: -3.9 + 0.5q = -5.2 + -0.5q Solving -3.9 + 0.5q = -5.2 + -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. -3.9 + 0.5q + 0.5q = -5.2 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -3.9 + 1q = -5.2 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -3.9 + 1q = -5.2 + 0.0 -3.9 + 1q = -5.2 Add '3.9' to each side of the equation. -3.9 + 3.9 + 1q = -5.2 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1q = -5.2 + 3.9 1q = -5.2 + 3.9 Combine like terms: -5.2 + 3.9 = -1.3 1q = -1.3 Divide each side by '1'. q = -1.3 Simplifying q = -1.3
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