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Simplifying 4.9q + -3.8 + -5.5q = -1.6q + -4.1 Reorder the terms: -3.8 + 4.9q + -5.5q = -1.6q + -4.1 Combine like terms: 4.9q + -5.5q = -0.6q -3.8 + -0.6q = -1.6q + -4.1 Reorder the terms: -3.8 + -0.6q = -4.1 + -1.6q Solving -3.8 + -0.6q = -4.1 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -3.8 + -0.6q + 1.6q = -4.1 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -3.8 + 1q = -4.1 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -3.8 + 1q = -4.1 + 0.0 -3.8 + 1q = -4.1 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -4.1 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -4.1 + 3.8 1q = -4.1 + 3.8 Combine like terms: -4.1 + 3.8 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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