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Simplifying 9 + 2c + 12 = c + 3(9) + 4 Reorder the terms: 9 + 12 + 2c = c + 3(9) + 4 Combine like terms: 9 + 12 = 21 21 + 2c = c + 3(9) + 4 Multiply 3 * 9 21 + 2c = c + 27 + 4 Reorder the terms: 21 + 2c = 27 + 4 + c Combine like terms: 27 + 4 = 31 21 + 2c = 31 + c Solving 21 + 2c = 31 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 21 + 2c + -1c = 31 + c + -1c Combine like terms: 2c + -1c = 1c 21 + 1c = 31 + c + -1c Combine like terms: c + -1c = 0 21 + 1c = 31 + 0 21 + 1c = 31 Add '-21' to each side of the equation. 21 + -21 + 1c = 31 + -21 Combine like terms: 21 + -21 = 0 0 + 1c = 31 + -21 1c = 31 + -21 Combine like terms: 31 + -21 = 10 1c = 10 Divide each side by '1'. c = 10 Simplifying c = 10
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