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Simplifying 5.4q + -3.8 + -5.5q = -1.1q + -5.1 Reorder the terms: -3.8 + 5.4q + -5.5q = -1.1q + -5.1 Combine like terms: 5.4q + -5.5q = -0.1q -3.8 + -0.1q = -1.1q + -5.1 Reorder the terms: -3.8 + -0.1q = -5.1 + -1.1q Solving -3.8 + -0.1q = -5.1 + -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. -3.8 + -0.1q + 1.1q = -5.1 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -3.8 + 1q = -5.1 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -3.8 + 1q = -5.1 + 0.0 -3.8 + 1q = -5.1 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -5.1 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -5.1 + 3.8 1q = -5.1 + 3.8 Combine like terms: -5.1 + 3.8 = -1.3 1q = -1.3 Divide each side by '1'. q = -1.3 Simplifying q = -1.3
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