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Simplifying 5.6q + -3.9 + -5.1q = -0.5q + -5.9 Reorder the terms: -3.9 + 5.6q + -5.1q = -0.5q + -5.9 Combine like terms: 5.6q + -5.1q = 0.5q -3.9 + 0.5q = -0.5q + -5.9 Reorder the terms: -3.9 + 0.5q = -5.9 + -0.5q Solving -3.9 + 0.5q = -5.9 + -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 = -5.9 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -3.9 + 1q = -5.9 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -3.9 + 1q = -5.9 + 0.0 -3.9 + 1q = -5.9 Add '3.9' to each side of the equation. -3.9 + 3.9 + 1q = -5.9 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1q = -5.9 + 3.9 1q = -5.9 + 3.9 Combine like terms: -5.9 + 3.9 = -2 1q = -2 Divide each side by '1'. q = -2 Simplifying q = -2
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