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Simplifying 4.9q + -3.1 + -4.5q = -0.6q + -3.4 Reorder the terms: -3.1 + 4.9q + -4.5q = -0.6q + -3.4 Combine like terms: 4.9q + -4.5q = 0.4q -3.1 + 0.4q = -0.6q + -3.4 Reorder the terms: -3.1 + 0.4q = -3.4 + -0.6q Solving -3.1 + 0.4q = -3.4 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -3.1 + 0.4q + 0.6q = -3.4 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -3.1 + 1q = -3.4 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -3.1 + 1q = -3.4 + 0.0 -3.1 + 1q = -3.4 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -3.4 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -3.4 + 3.1 1q = -3.4 + 3.1 Combine like terms: -3.4 + 3.1 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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