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Simplifying 7c + 14 + 2c = 20 + 6c + 12 Reorder the terms: 14 + 7c + 2c = 20 + 6c + 12 Combine like terms: 7c + 2c = 9c 14 + 9c = 20 + 6c + 12 Reorder the terms: 14 + 9c = 20 + 12 + 6c Combine like terms: 20 + 12 = 32 14 + 9c = 32 + 6c Solving 14 + 9c = 32 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 14 + 9c + -6c = 32 + 6c + -6c Combine like terms: 9c + -6c = 3c 14 + 3c = 32 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + 3c = 32 + 0 14 + 3c = 32 Add '-14' to each side of the equation. 14 + -14 + 3c = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3c = 32 + -14 3c = 32 + -14 Combine like terms: 32 + -14 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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