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Simplifying 200 = 5c + -1(100 + 2c) 200 = 5c + (100 * -1 + 2c * -1) 200 = 5c + (-100 + -2c) Reorder the terms: 200 = -100 + 5c + -2c Combine like terms: 5c + -2c = 3c 200 = -100 + 3c Solving 200 = -100 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 200 + -3c = -100 + 3c + -3c Combine like terms: 3c + -3c = 0 200 + -3c = -100 + 0 200 + -3c = -100 Add '-200' to each side of the equation. 200 + -200 + -3c = -100 + -200 Combine like terms: 200 + -200 = 0 0 + -3c = -100 + -200 -3c = -100 + -200 Combine like terms: -100 + -200 = -300 -3c = -300 Divide each side by '-3'. c = 100 Simplifying c = 100
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