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