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Simplifying 0.5q + 3 = 10.5 + q Reorder the terms: 3 + 0.5q = 10.5 + q Solving 3 + 0.5q = 10.5 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 3 + 0.5q + -1q = 10.5 + q + -1q Combine like terms: 0.5q + -1q = -0.5q 3 + -0.5q = 10.5 + q + -1q Combine like terms: q + -1q = 0 3 + -0.5q = 10.5 + 0 3 + -0.5q = 10.5 Add '-3' to each side of the equation. 3 + -3 + -0.5q = 10.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5q = 10.5 + -3 -0.5q = 10.5 + -3 Combine like terms: 10.5 + -3 = 7.5 -0.5q = 7.5 Divide each side by '-0.5'. q = -15 Simplifying q = -15
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