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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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