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Simplifying 4.1q + -1.1 + -5.5 = -0.4q + -1.1 Reorder the terms: -1.1 + -5.5 + 4.1q = -0.4q + -1.1 Combine like terms: -1.1 + -5.5 = -6.6 -6.6 + 4.1q = -0.4q + -1.1 Reorder the terms: -6.6 + 4.1q = -1.1 + -0.4q Solving -6.6 + 4.1q = -1.1 + -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. -6.6 + 4.1q + 0.4q = -1.1 + -0.4q + 0.4q Combine like terms: 4.1q + 0.4q = 4.5q -6.6 + 4.5q = -1.1 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -6.6 + 4.5q = -1.1 + 0.0 -6.6 + 4.5q = -1.1 Add '6.6' to each side of the equation. -6.6 + 6.6 + 4.5q = -1.1 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + 4.5q = -1.1 + 6.6 4.5q = -1.1 + 6.6 Combine like terms: -1.1 + 6.6 = 5.5 4.5q = 5.5 Divide each side by '4.5'. q = 1.222222222 Simplifying q = 1.222222222
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