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Simplifying 3.1q + -5.9 + -4.5q = -0.4q + -5.9 Reorder the terms: -5.9 + 3.1q + -4.5q = -0.4q + -5.9 Combine like terms: 3.1q + -4.5q = -1.4q -5.9 + -1.4q = -0.4q + -5.9 Reorder the terms: -5.9 + -1.4q = -5.9 + -0.4q Add '5.9' to each side of the equation. -5.9 + 5.9 + -1.4q = -5.9 + 5.9 + -0.4q Combine like terms: -5.9 + 5.9 = 0.0 0.0 + -1.4q = -5.9 + 5.9 + -0.4q -1.4q = -5.9 + 5.9 + -0.4q Combine like terms: -5.9 + 5.9 = 0.0 -1.4q = 0.0 + -0.4q -1.4q = -0.4q Solving -1.4q = -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -1.4q + 0.4q = -0.4q + 0.4q Combine like terms: -1.4q + 0.4q = -1q -1q = -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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