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Simplifying 5.4q + -5.3 + -5.5q = -1.1q + -2.2 Reorder the terms: -5.3 + 5.4q + -5.5q = -1.1q + -2.2 Combine like terms: 5.4q + -5.5q = -0.1q -5.3 + -0.1q = -1.1q + -2.2 Reorder the terms: -5.3 + -0.1q = -2.2 + -1.1q Solving -5.3 + -0.1q = -2.2 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -5.3 + -0.1q + 1.1q = -2.2 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -5.3 + 1q = -2.2 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -5.3 + 1q = -2.2 + 0.0 -5.3 + 1q = -2.2 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -2.2 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -2.2 + 5.3 1q = -2.2 + 5.3 Combine like terms: -2.2 + 5.3 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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