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Simplifying 1.3q + -5.2 + -5.5q = -5.2q + -1.7 Reorder the terms: -5.2 + 1.3q + -5.5q = -5.2q + -1.7 Combine like terms: 1.3q + -5.5q = -4.2q -5.2 + -4.2q = -5.2q + -1.7 Reorder the terms: -5.2 + -4.2q = -1.7 + -5.2q Solving -5.2 + -4.2q = -1.7 + -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. -5.2 + -4.2q + 5.2q = -1.7 + -5.2q + 5.2q Combine like terms: -4.2q + 5.2q = 1q -5.2 + 1q = -1.7 + -5.2q + 5.2q Combine like terms: -5.2q + 5.2q = 0.0 -5.2 + 1q = -1.7 + 0.0 -5.2 + 1q = -1.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -1.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -1.7 + 5.2 1q = -1.7 + 5.2 Combine like terms: -1.7 + 5.2 = 3.5 1q = 3.5 Divide each side by '1'. q = 3.5 Simplifying q = 3.5
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