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Simplifying 5.6q + -3.2 + -5.1q = -0.5 + -4.8 Reorder the terms: -3.2 + 5.6q + -5.1q = -0.5 + -4.8 Combine like terms: 5.6q + -5.1q = 0.5q -3.2 + 0.5q = -0.5 + -4.8 Combine like terms: -0.5 + -4.8 = -5.3 -3.2 + 0.5q = -5.3 Solving -3.2 + 0.5q = -5.3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.2' to each side of the equation. -3.2 + 3.2 + 0.5q = -5.3 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 0.5q = -5.3 + 3.2 0.5q = -5.3 + 3.2 Combine like terms: -5.3 + 3.2 = -2.1 0.5q = -2.1 Divide each side by '0.5'. q = -4.2 Simplifying q = -4.2
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