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Simplifying 3.9q + -2.9 + -5.4q = 0.5q + -2.9 Reorder the terms: -2.9 + 3.9q + -5.4q = 0.5q + -2.9 Combine like terms: 3.9q + -5.4q = -1.5q -2.9 + -1.5q = 0.5q + -2.9 Reorder the terms: -2.9 + -1.5q = -2.9 + 0.5q Add '2.9' to each side of the equation. -2.9 + 2.9 + -1.5q = -2.9 + 2.9 + 0.5q Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -1.5q = -2.9 + 2.9 + 0.5q -1.5q = -2.9 + 2.9 + 0.5q Combine like terms: -2.9 + 2.9 = 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 = -2q -2q = 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -2q = 0.0 Divide each side by '-2'. q = 0.0 Simplifying q = 0.0
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