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Simplifying 5.1q + -1.9 + -4.6q + -3.3 = 1.6 Reorder the terms: -1.9 + -3.3 + 5.1q + -4.6q = 1.6 Combine like terms: -1.9 + -3.3 = -5.2 -5.2 + 5.1q + -4.6q = 1.6 Combine like terms: 5.1q + -4.6q = 0.5q -5.2 + 0.5q = 1.6 Solving -5.2 + 0.5q = 1.6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.5q = 1.6 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.5q = 1.6 + 5.2 0.5q = 1.6 + 5.2 Combine like terms: 1.6 + 5.2 = 6.8 0.5q = 6.8 Divide each side by '0.5'. q = 13.6 Simplifying q = 13.6
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