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Simplifying 0.5p + 3s + 4c = 100 Reorder the terms: 4c + 0.5p + 3s = 100 Solving 4c + 0.5p + 3s = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.5p' to each side of the equation. 4c + 0.5p + -0.5p + 3s = 100 + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 4c + 0.0 + 3s = 100 + -0.5p 4c + 3s = 100 + -0.5p Add '-3s' to each side of the equation. 4c + 3s + -3s = 100 + -0.5p + -3s Combine like terms: 3s + -3s = 0 4c + 0 = 100 + -0.5p + -3s 4c = 100 + -0.5p + -3s Divide each side by '4'. c = 25 + -0.125p + -0.75s Simplifying c = 25 + -0.125p + -0.75s
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