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Simplifying 5.2q + -5.8 + -5.5q = -1.3q + -5.2 Reorder the terms: -5.8 + 5.2q + -5.5q = -1.3q + -5.2 Combine like terms: 5.2q + -5.5q = -0.3q -5.8 + -0.3q = -1.3q + -5.2 Reorder the terms: -5.8 + -0.3q = -5.2 + -1.3q Solving -5.8 + -0.3q = -5.2 + -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. -5.8 + -0.3q + 1.3q = -5.2 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -5.8 + 1q = -5.2 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -5.8 + 1q = -5.2 + 0.0 -5.8 + 1q = -5.2 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -5.2 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -5.2 + 5.8 1q = -5.2 + 5.8 Combine like terms: -5.2 + 5.8 = 0.6 1q = 0.6 Divide each side by '1'. q = 0.6 Simplifying q = 0.6
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