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Simplifying 3.9q + -3.4 + -5.4q = -0.5q + -3.4 Reorder the terms: -3.4 + 3.9q + -5.4q = -0.5q + -3.4 Combine like terms: 3.9q + -5.4q = -1.5q -3.4 + -1.5q = -0.5q + -3.4 Reorder the terms: -3.4 + -1.5q = -3.4 + -0.5q Add '3.4' to each side of the equation. -3.4 + 3.4 + -1.5q = -3.4 + 3.4 + -0.5q Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -1.5q = -3.4 + 3.4 + -0.5q -1.5q = -3.4 + 3.4 + -0.5q Combine like terms: -3.4 + 3.4 = 0.0 -1.5q = 0.0 + -0.5q -1.5q = -0.5q Solving -1.5q = -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. -1.5q + 0.5q = -0.5q + 0.5q Combine like terms: -1.5q + 0.5q = -1q -1q = -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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