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Simplifying 100(2 + c) = 500c (2 * 100 + c * 100) = 500c (200 + 100c) = 500c Solving 200 + 100c = 500c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-500c' to each side of the equation. 200 + 100c + -500c = 500c + -500c Combine like terms: 100c + -500c = -400c 200 + -400c = 500c + -500c Combine like terms: 500c + -500c = 0 200 + -400c = 0 Add '-200' to each side of the equation. 200 + -200 + -400c = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -400c = 0 + -200 -400c = 0 + -200 Combine like terms: 0 + -200 = -200 -400c = -200 Divide each side by '-400'. c = 0.5 Simplifying c = 0.5
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