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Simplifying 100 + -0.5q = 10 + 0.5q Solving 100 + -0.5q = 10 + 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. 100 + -0.5q + -0.5q = 10 + 0.5q + -0.5q Combine like terms: -0.5q + -0.5q = -1q 100 + -1q = 10 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 100 + -1q = 10 + 0.0 100 + -1q = 10 Add '-100' to each side of the equation. 100 + -100 + -1q = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -1q = 10 + -100 -1q = 10 + -100 Combine like terms: 10 + -100 = -90 -1q = -90 Divide each side by '-1'. q = 90 Simplifying q = 90
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