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Simplifying 14 + 6c + 7 + -2c = 1 + 5c Reorder the terms: 14 + 7 + 6c + -2c = 1 + 5c Combine like terms: 14 + 7 = 21 21 + 6c + -2c = 1 + 5c Combine like terms: 6c + -2c = 4c 21 + 4c = 1 + 5c Solving 21 + 4c = 1 + 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. 21 + 4c + -5c = 1 + 5c + -5c Combine like terms: 4c + -5c = -1c 21 + -1c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 21 + -1c = 1 + 0 21 + -1c = 1 Add '-21' to each side of the equation. 21 + -21 + -1c = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -1c = 1 + -21 -1c = 1 + -21 Combine like terms: 1 + -21 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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