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Simplifying 5.5q + -5.2 + -5.8q = -1.3q + -1.9 Reorder the terms: -5.2 + 5.5q + -5.8q = -1.3q + -1.9 Combine like terms: 5.5q + -5.8q = -0.3q -5.2 + -0.3q = -1.3q + -1.9 Reorder the terms: -5.2 + -0.3q = -1.9 + -1.3q Solving -5.2 + -0.3q = -1.9 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -5.2 + -0.3q + 1.3q = -1.9 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -5.2 + 1q = -1.9 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -5.2 + 1q = -1.9 + 0.0 -5.2 + 1q = -1.9 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -1.9 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -1.9 + 5.2 1q = -1.9 + 5.2 Combine like terms: -1.9 + 5.2 = 3.3 1q = 3.3 Divide each side by '1'. q = 3.3 Simplifying q = 3.3
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