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Simplifying 3.49q + -2.9 + -5.9q = 3.5q + -3.9 Reorder the terms: -2.9 + 3.49q + -5.9q = 3.5q + -3.9 Combine like terms: 3.49q + -5.9q = -2.41q -2.9 + -2.41q = 3.5q + -3.9 Reorder the terms: -2.9 + -2.41q = -3.9 + 3.5q Solving -2.9 + -2.41q = -3.9 + 3.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.5q' to each side of the equation. -2.9 + -2.41q + -3.5q = -3.9 + 3.5q + -3.5q Combine like terms: -2.41q + -3.5q = -5.91q -2.9 + -5.91q = -3.9 + 3.5q + -3.5q Combine like terms: 3.5q + -3.5q = 0.0 -2.9 + -5.91q = -3.9 + 0.0 -2.9 + -5.91q = -3.9 Add '2.9' to each side of the equation. -2.9 + 2.9 + -5.91q = -3.9 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -5.91q = -3.9 + 2.9 -5.91q = -3.9 + 2.9 Combine like terms: -3.9 + 2.9 = -1 -5.91q = -1 Divide each side by '-5.91'. q = 0.1692047377 Simplifying q = 0.1692047377
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