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Simplifying 4.4q + -4.5 + -3.9q = -0.5q + -5.1 Reorder the terms: -4.5 + 4.4q + -3.9q = -0.5q + -5.1 Combine like terms: 4.4q + -3.9q = 0.5q -4.5 + 0.5q = -0.5q + -5.1 Reorder the terms: -4.5 + 0.5q = -5.1 + -0.5q Solving -4.5 + 0.5q = -5.1 + -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. -4.5 + 0.5q + 0.5q = -5.1 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -4.5 + 1q = -5.1 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -4.5 + 1q = -5.1 + 0.0 -4.5 + 1q = -5.1 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -5.1 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -5.1 + 4.5 1q = -5.1 + 4.5 Combine like terms: -5.1 + 4.5 = -0.6 1q = -0.6 Divide each side by '1'. q = -0.6 Simplifying q = -0.6
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