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Simplifying 5.9q + -4.7 + -5.4q = -0.5q + -4.9 Reorder the terms: -4.7 + 5.9q + -5.4q = -0.5q + -4.9 Combine like terms: 5.9q + -5.4q = 0.5q -4.7 + 0.5q = -0.5q + -4.9 Reorder the terms: -4.7 + 0.5q = -4.9 + -0.5q Solving -4.7 + 0.5q = -4.9 + -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. -4.7 + 0.5q + 0.5q = -4.9 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -4.7 + 1q = -4.9 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -4.7 + 1q = -4.9 + 0.0 -4.7 + 1q = -4.9 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -4.9 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -4.9 + 4.7 1q = -4.9 + 4.7 Combine like terms: -4.9 + 4.7 = -0.2 1q = -0.2 Divide each side by '1'. q = -0.2 Simplifying q = -0.2
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