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Simplifying 5.1q + -5.3 + -4.6q = -0.5q + -4.4 Reorder the terms: -5.3 + 5.1q + -4.6q = -0.5q + -4.4 Combine like terms: 5.1q + -4.6q = 0.5q -5.3 + 0.5q = -0.5q + -4.4 Reorder the terms: -5.3 + 0.5q = -4.4 + -0.5q Solving -5.3 + 0.5q = -4.4 + -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. -5.3 + 0.5q + 0.5q = -4.4 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -5.3 + 1q = -4.4 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -5.3 + 1q = -4.4 + 0.0 -5.3 + 1q = -4.4 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -4.4 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -4.4 + 5.3 1q = -4.4 + 5.3 Combine like terms: -4.4 + 5.3 = 0.9 1q = 0.9 Divide each side by '1'. q = 0.9 Simplifying q = 0.9
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