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Simplifying 3.6q + -3.1 + -4.1q = -1.5q + -3.8 Reorder the terms: -3.1 + 3.6q + -4.1q = -1.5q + -3.8 Combine like terms: 3.6q + -4.1q = -0.5q -3.1 + -0.5q = -1.5q + -3.8 Reorder the terms: -3.1 + -0.5q = -3.8 + -1.5q Solving -3.1 + -0.5q = -3.8 + -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 = -3.8 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -3.1 + 1q = -3.8 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -3.1 + 1q = -3.8 + 0.0 -3.1 + 1q = -3.8 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -3.8 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -3.8 + 3.1 1q = -3.8 + 3.1 Combine like terms: -3.8 + 3.1 = -0.7 1q = -0.7 Divide each side by '1'. q = -0.7 Simplifying q = -0.7
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