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Simplifying 4.9q + -3.4 + -5.8q = -1.9q + -1.4 Reorder the terms: -3.4 + 4.9q + -5.8q = -1.9q + -1.4 Combine like terms: 4.9q + -5.8q = -0.9q -3.4 + -0.9q = -1.9q + -1.4 Reorder the terms: -3.4 + -0.9q = -1.4 + -1.9q Solving -3.4 + -0.9q = -1.4 + -1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.9q' to each side of the equation. -3.4 + -0.9q + 1.9q = -1.4 + -1.9q + 1.9q Combine like terms: -0.9q + 1.9q = 1q -3.4 + 1q = -1.4 + -1.9q + 1.9q Combine like terms: -1.9q + 1.9q = 0.0 -3.4 + 1q = -1.4 + 0.0 -3.4 + 1q = -1.4 Add '3.4' to each side of the equation. -3.4 + 3.4 + 1q = -1.4 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 1q = -1.4 + 3.4 1q = -1.4 + 3.4 Combine like terms: -1.4 + 3.4 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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