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Simplifying 2.1q + -1.1 + -4.6 = -3.5q + -5.1 Reorder the terms: -1.1 + -4.6 + 2.1q = -3.5q + -5.1 Combine like terms: -1.1 + -4.6 = -5.7 -5.7 + 2.1q = -3.5q + -5.1 Reorder the terms: -5.7 + 2.1q = -5.1 + -3.5q Solving -5.7 + 2.1q = -5.1 + -3.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.5q' to each side of the equation. -5.7 + 2.1q + 3.5q = -5.1 + -3.5q + 3.5q Combine like terms: 2.1q + 3.5q = 5.6q -5.7 + 5.6q = -5.1 + -3.5q + 3.5q Combine like terms: -3.5q + 3.5q = 0.0 -5.7 + 5.6q = -5.1 + 0.0 -5.7 + 5.6q = -5.1 Add '5.7' to each side of the equation. -5.7 + 5.7 + 5.6q = -5.1 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 5.6q = -5.1 + 5.7 5.6q = -5.1 + 5.7 Combine like terms: -5.1 + 5.7 = 0.6 5.6q = 0.6 Divide each side by '5.6'. q = 0.1071428571 Simplifying q = 0.1071428571
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