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Simplifying 1 + 8c = 6c + 21 Reorder the terms: 1 + 8c = 21 + 6c Solving 1 + 8c = 21 + 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. 1 + 8c + -6c = 21 + 6c + -6c Combine like terms: 8c + -6c = 2c 1 + 2c = 21 + 6c + -6c Combine like terms: 6c + -6c = 0 1 + 2c = 21 + 0 1 + 2c = 21 Add '-1' to each side of the equation. 1 + -1 + 2c = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 21 + -1 2c = 21 + -1 Combine like terms: 21 + -1 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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