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Simplifying 20 + 0.5q = 100 + -1q Solving 20 + 0.5q = 100 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 20 + 0.5q + q = 100 + -1q + q Combine like terms: 0.5q + q = 1.5q 20 + 1.5q = 100 + -1q + q Combine like terms: -1q + q = 0 20 + 1.5q = 100 + 0 20 + 1.5q = 100 Add '-20' to each side of the equation. 20 + -20 + 1.5q = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 1.5q = 100 + -20 1.5q = 100 + -20 Combine like terms: 100 + -20 = 80 1.5q = 80 Divide each side by '1.5'. q = 53.33333333 Simplifying q = 53.33333333
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