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Simplifying 12.25 = 0.5q + 3.75 Reorder the terms: 12.25 = 3.75 + 0.5q Solving 12.25 = 3.75 + 0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5q' to each side of the equation. 12.25 + -0.5q = 3.75 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 12.25 + -0.5q = 3.75 + 0.0 12.25 + -0.5q = 3.75 Add '-12.25' to each side of the equation. 12.25 + -12.25 + -0.5q = 3.75 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + -0.5q = 3.75 + -12.25 -0.5q = 3.75 + -12.25 Combine like terms: 3.75 + -12.25 = -8.5 -0.5q = -8.5 Divide each side by '-0.5'. q = 17 Simplifying q = 17
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