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Simplifying 4.3q + -3.1 + -3.8q = -5q + -3.1 Reorder the terms: -3.1 + 4.3q + -3.8q = -5q + -3.1 Combine like terms: 4.3q + -3.8q = 0.5q -3.1 + 0.5q = -5q + -3.1 Reorder the terms: -3.1 + 0.5q = -3.1 + -5q Add '3.1' to each side of the equation. -3.1 + 3.1 + 0.5q = -3.1 + 3.1 + -5q Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 0.5q = -3.1 + 3.1 + -5q 0.5q = -3.1 + 3.1 + -5q Combine like terms: -3.1 + 3.1 = 0.0 0.5q = 0.0 + -5q 0.5q = -5q Solving 0.5q = -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 0.5q + 5q = -5q + 5q Combine like terms: 0.5q + 5q = 5.5q 5.5q = -5q + 5q Combine like terms: -5q + 5q = 0 5.5q = 0 Divide each side by '5.5'. q = 0 Simplifying q = 0
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