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Simplifying 5.9q + -4.4 + -5.3q = 0.5q + -4.1 Reorder the terms: -4.4 + 5.9q + -5.3q = 0.5q + -4.1 Combine like terms: 5.9q + -5.3q = 0.6q -4.4 + 0.6q = 0.5q + -4.1 Reorder the terms: -4.4 + 0.6q = -4.1 + 0.5q Solving -4.4 + 0.6q = -4.1 + 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. -4.4 + 0.6q + -0.5q = -4.1 + 0.5q + -0.5q Combine like terms: 0.6q + -0.5q = 0.1q -4.4 + 0.1q = -4.1 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -4.4 + 0.1q = -4.1 + 0.0 -4.4 + 0.1q = -4.1 Add '4.4' to each side of the equation. -4.4 + 4.4 + 0.1q = -4.1 + 4.4 Combine like terms: -4.4 + 4.4 = 0.0 0.0 + 0.1q = -4.1 + 4.4 0.1q = -4.1 + 4.4 Combine like terms: -4.1 + 4.4 = 0.3 0.1q = 0.3 Divide each side by '0.1'. q = 3 Simplifying q = 3
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