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Simplifying 2.2q + -5.3 + -5.7q = -4.5q + -1.7 Reorder the terms: -5.3 + 2.2q + -5.7q = -4.5q + -1.7 Combine like terms: 2.2q + -5.7q = -3.5q -5.3 + -3.5q = -4.5q + -1.7 Reorder the terms: -5.3 + -3.5q = -1.7 + -4.5q Solving -5.3 + -3.5q = -1.7 + -4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5q' to each side of the equation. -5.3 + -3.5q + 4.5q = -1.7 + -4.5q + 4.5q Combine like terms: -3.5q + 4.5q = 1q -5.3 + 1q = -1.7 + -4.5q + 4.5q Combine like terms: -4.5q + 4.5q = 0.0 -5.3 + 1q = -1.7 + 0.0 -5.3 + 1q = -1.7 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -1.7 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -1.7 + 5.3 1q = -1.7 + 5.3 Combine like terms: -1.7 + 5.3 = 3.6 1q = 3.6 Divide each side by '1'. q = 3.6 Simplifying q = 3.6
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