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Simplifying 5.8q + -5.3 + -5.3q = 0.5 + -1.3 Reorder the terms: -5.3 + 5.8q + -5.3q = 0.5 + -1.3 Combine like terms: 5.8q + -5.3q = 0.5q -5.3 + 0.5q = 0.5 + -1.3 Combine like terms: 0.5 + -1.3 = -0.8 -5.3 + 0.5q = -0.8 Solving -5.3 + 0.5q = -0.8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.3' to each side of the equation. -5.3 + 5.3 + 0.5q = -0.8 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 0.5q = -0.8 + 5.3 0.5q = -0.8 + 5.3 Combine like terms: -0.8 + 5.3 = 4.5 0.5q = 4.5 Divide each side by '0.5'. q = 9 Simplifying q = 9
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