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Simplifying 2.9q + -5.8 + -4.9q = -3.0q + -3.4 Reorder the terms: -5.8 + 2.9q + -4.9q = -3.0q + -3.4 Combine like terms: 2.9q + -4.9q = -2q -5.8 + -2q = -3.0q + -3.4 Reorder the terms: -5.8 + -2q = -3.4 + -3.0q Solving -5.8 + -2q = -3.4 + -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. -5.8 + -2q + 3.0q = -3.4 + -3.0q + 3.0q Combine like terms: -2q + 3.0q = 1q -5.8 + 1q = -3.4 + -3.0q + 3.0q Combine like terms: -3.0q + 3.0q = 0.0 -5.8 + 1q = -3.4 + 0.0 -5.8 + 1q = -3.4 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -3.4 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -3.4 + 5.8 1q = -3.4 + 5.8 Combine like terms: -3.4 + 5.8 = 2.4 1q = 2.4 Divide each side by '1'. q = 2.4 Simplifying q = 2.4
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