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Simplifying 8c + 21 = 2c + 1 Reorder the terms: 21 + 8c = 2c + 1 Reorder the terms: 21 + 8c = 1 + 2c Solving 21 + 8c = 1 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 21 + 8c + -2c = 1 + 2c + -2c Combine like terms: 8c + -2c = 6c 21 + 6c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 21 + 6c = 1 + 0 21 + 6c = 1 Add '-21' to each side of the equation. 21 + -21 + 6c = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 6c = 1 + -21 6c = 1 + -21 Combine like terms: 1 + -21 = -20 6c = -20 Divide each side by '6'. c = -3.333333333 Simplifying c = -3.333333333
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