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Simplifying 3.1q + -4.2 + -4.6q = -2.5q + -1.1 Reorder the terms: -4.2 + 3.1q + -4.6q = -2.5q + -1.1 Combine like terms: 3.1q + -4.6q = -1.5q -4.2 + -1.5q = -2.5q + -1.1 Reorder the terms: -4.2 + -1.5q = -1.1 + -2.5q Solving -4.2 + -1.5q = -1.1 + -2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.5q' to each side of the equation. -4.2 + -1.5q + 2.5q = -1.1 + -2.5q + 2.5q Combine like terms: -1.5q + 2.5q = 1q -4.2 + 1q = -1.1 + -2.5q + 2.5q Combine like terms: -2.5q + 2.5q = 0.0 -4.2 + 1q = -1.1 + 0.0 -4.2 + 1q = -1.1 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.1 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.1 + 4.2 1q = -1.1 + 4.2 Combine like terms: -1.1 + 4.2 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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