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Simplifying 9c + -27 = 29 + 2c Reorder the terms: -27 + 9c = 29 + 2c Solving -27 + 9c = 29 + 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. -27 + 9c + -2c = 29 + 2c + -2c Combine like terms: 9c + -2c = 7c -27 + 7c = 29 + 2c + -2c Combine like terms: 2c + -2c = 0 -27 + 7c = 29 + 0 -27 + 7c = 29 Add '27' to each side of the equation. -27 + 27 + 7c = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 7c = 29 + 27 7c = 29 + 27 Combine like terms: 29 + 27 = 56 7c = 56 Divide each side by '7'. c = 8 Simplifying c = 8
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