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Simplifying 6c + 3 = 27 + -2c Reorder the terms: 3 + 6c = 27 + -2c Solving 3 + 6c = 27 + -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. 3 + 6c + 2c = 27 + -2c + 2c Combine like terms: 6c + 2c = 8c 3 + 8c = 27 + -2c + 2c Combine like terms: -2c + 2c = 0 3 + 8c = 27 + 0 3 + 8c = 27 Add '-3' to each side of the equation. 3 + -3 + 8c = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8c = 27 + -3 8c = 27 + -3 Combine like terms: 27 + -3 = 24 8c = 24 Divide each side by '8'. c = 3 Simplifying c = 3
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