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Simplifying 4.9q + -2.4 + -4.4q = -0.5q + -5.8 Reorder the terms: -2.4 + 4.9q + -4.4q = -0.5q + -5.8 Combine like terms: 4.9q + -4.4q = 0.5q -2.4 + 0.5q = -0.5q + -5.8 Reorder the terms: -2.4 + 0.5q = -5.8 + -0.5q Solving -2.4 + 0.5q = -5.8 + -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. -2.4 + 0.5q + 0.5q = -5.8 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -2.4 + 1q = -5.8 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -2.4 + 1q = -5.8 + 0.0 -2.4 + 1q = -5.8 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1q = -5.8 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1q = -5.8 + 2.4 1q = -5.8 + 2.4 Combine like terms: -5.8 + 2.4 = -3.4 1q = -3.4 Divide each side by '1'. q = -3.4 Simplifying q = -3.4
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