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Simplifying 1.3q + -2.8 + -5.5q = -5.2q + -1.1 Reorder the terms: -2.8 + 1.3q + -5.5q = -5.2q + -1.1 Combine like terms: 1.3q + -5.5q = -4.2q -2.8 + -4.2q = -5.2q + -1.1 Reorder the terms: -2.8 + -4.2q = -1.1 + -5.2q Solving -2.8 + -4.2q = -1.1 + -5.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.2q' to each side of the equation. -2.8 + -4.2q + 5.2q = -1.1 + -5.2q + 5.2q Combine like terms: -4.2q + 5.2q = 1q -2.8 + 1q = -1.1 + -5.2q + 5.2q Combine like terms: -5.2q + 5.2q = 0.0 -2.8 + 1q = -1.1 + 0.0 -2.8 + 1q = -1.1 Add '2.8' to each side of the equation. -2.8 + 2.8 + 1q = -1.1 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1q = -1.1 + 2.8 1q = -1.1 + 2.8 Combine like terms: -1.1 + 2.8 = 1.7 1q = 1.7 Divide each side by '1'. q = 1.7 Simplifying q = 1.7
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