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Simplifying 3.9q + -4.9 + -5.9q = 3.0q + -1.8 Reorder the terms: -4.9 + 3.9q + -5.9q = 3.0q + -1.8 Combine like terms: 3.9q + -5.9q = -2q -4.9 + -2q = 3.0q + -1.8 Reorder the terms: -4.9 + -2q = -1.8 + 3.0q Solving -4.9 + -2q = -1.8 + 3.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.0q' to each side of the equation. -4.9 + -2q + -3.0q = -1.8 + 3.0q + -3.0q Combine like terms: -2q + -3.0q = -5q -4.9 + -5q = -1.8 + 3.0q + -3.0q Combine like terms: 3.0q + -3.0q = 0.0 -4.9 + -5q = -1.8 + 0.0 -4.9 + -5q = -1.8 Add '4.9' to each side of the equation. -4.9 + 4.9 + -5q = -1.8 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -5q = -1.8 + 4.9 -5q = -1.8 + 4.9 Combine like terms: -1.8 + 4.9 = 3.1 -5q = 3.1 Divide each side by '-5'. q = -0.62 Simplifying q = -0.62
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