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Simplifying 400 + 2c = 250 + 5c Solving 400 + 2c = 250 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 400 + 2c + -5c = 250 + 5c + -5c Combine like terms: 2c + -5c = -3c 400 + -3c = 250 + 5c + -5c Combine like terms: 5c + -5c = 0 400 + -3c = 250 + 0 400 + -3c = 250 Add '-400' to each side of the equation. 400 + -400 + -3c = 250 + -400 Combine like terms: 400 + -400 = 0 0 + -3c = 250 + -400 -3c = 250 + -400 Combine like terms: 250 + -400 = -150 -3c = -150 Divide each side by '-3'. c = 50 Simplifying c = 50
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