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Simplifying 4.1q + -5.2 + -3.5q = -0.4q + -4.4 Reorder the terms: -5.2 + 4.1q + -3.5q = -0.4q + -4.4 Combine like terms: 4.1q + -3.5q = 0.6q -5.2 + 0.6q = -0.4q + -4.4 Reorder the terms: -5.2 + 0.6q = -4.4 + -0.4q Solving -5.2 + 0.6q = -4.4 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -5.2 + 0.6q + 0.4q = -4.4 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -5.2 + 1q = -4.4 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -5.2 + 1q = -4.4 + 0.0 -5.2 + 1q = -4.4 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -4.4 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -4.4 + 5.2 1q = -4.4 + 5.2 Combine like terms: -4.4 + 5.2 = 0.8 1q = 0.8 Divide each side by '1'. q = 0.8 Simplifying q = 0.8
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