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Simplifying 0.75c + (0.40)(500 + -1c) = 340 0.75c + (500 * 0.40 + -1c * 0.40) = 340 0.75c + (200 + -0.4c) = 340 Reorder the terms: 200 + 0.75c + -0.4c = 340 Combine like terms: 0.75c + -0.4c = 0.35c 200 + 0.35c = 340 Solving 200 + 0.35c = 340 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 0.35c = 340 + -200 Combine like terms: 200 + -200 = 0 0 + 0.35c = 340 + -200 0.35c = 340 + -200 Combine like terms: 340 + -200 = 140 0.35c = 140 Divide each side by '0.35'. c = 400 Simplifying c = 400
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