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Simplifying 3.1q + -2.9 + -4.1q = -2.0q + -3.9 Reorder the terms: -2.9 + 3.1q + -4.1q = -2.0q + -3.9 Combine like terms: 3.1q + -4.1q = -1q -2.9 + -1q = -2.0q + -3.9 Reorder the terms: -2.9 + -1q = -3.9 + -2.0q Solving -2.9 + -1q = -3.9 + -2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.0q' to each side of the equation. -2.9 + -1q + 2.0q = -3.9 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -2.9 + 1q = -3.9 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -2.9 + 1q = -3.9 + 0.0 -2.9 + 1q = -3.9 Add '2.9' to each side of the equation. -2.9 + 2.9 + 1q = -3.9 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 1q = -3.9 + 2.9 1q = -3.9 + 2.9 Combine like terms: -3.9 + 2.9 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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