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Simplifying 5.5q + -5.3 + -5.1q = -0.6q + -1.1 Reorder the terms: -5.3 + 5.5q + -5.1q = -0.6q + -1.1 Combine like terms: 5.5q + -5.1q = 0.4q -5.3 + 0.4q = -0.6q + -1.1 Reorder the terms: -5.3 + 0.4q = -1.1 + -0.6q Solving -5.3 + 0.4q = -1.1 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -5.3 + 0.4q + 0.6q = -1.1 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -5.3 + 1q = -1.1 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -5.3 + 1q = -1.1 + 0.0 -5.3 + 1q = -1.1 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -1.1 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -1.1 + 5.3 1q = -1.1 + 5.3 Combine like terms: -1.1 + 5.3 = 4.2 1q = 4.2 Divide each side by '1'. q = 4.2 Simplifying q = 4.2
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