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Simplifying 3(c + 2 + 1) = 9c + 3 Reorder the terms: 3(2 + 1 + c) = 9c + 3 Combine like terms: 2 + 1 = 3 3(3 + c) = 9c + 3 (3 * 3 + c * 3) = 9c + 3 (9 + 3c) = 9c + 3 Reorder the terms: 9 + 3c = 3 + 9c Solving 9 + 3c = 3 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 9 + 3c + -9c = 3 + 9c + -9c Combine like terms: 3c + -9c = -6c 9 + -6c = 3 + 9c + -9c Combine like terms: 9c + -9c = 0 9 + -6c = 3 + 0 9 + -6c = 3 Add '-9' to each side of the equation. 9 + -9 + -6c = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -6c = 3 + -9 -6c = 3 + -9 Combine like terms: 3 + -9 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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