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Simplifying 4.6q + -3.1 + -5.1q = -1.5q + -2.5 Reorder the terms: -3.1 + 4.6q + -5.1q = -1.5q + -2.5 Combine like terms: 4.6q + -5.1q = -0.5q -3.1 + -0.5q = -1.5q + -2.5 Reorder the terms: -3.1 + -0.5q = -2.5 + -1.5q Solving -3.1 + -0.5q = -2.5 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -3.1 + -0.5q + 1.5q = -2.5 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -3.1 + 1q = -2.5 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -3.1 + 1q = -2.5 + 0.0 -3.1 + 1q = -2.5 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -2.5 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -2.5 + 3.1 1q = -2.5 + 3.1 Combine like terms: -2.5 + 3.1 = 0.6 1q = 0.6 Divide each side by '1'. q = 0.6 Simplifying q = 0.6
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