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Simplifying 3(c + 3) + 6c = 3(c + 4) + -3 Reorder the terms: 3(3 + c) + 6c = 3(c + 4) + -3 (3 * 3 + c * 3) + 6c = 3(c + 4) + -3 (9 + 3c) + 6c = 3(c + 4) + -3 Combine like terms: 3c + 6c = 9c 9 + 9c = 3(c + 4) + -3 Reorder the terms: 9 + 9c = 3(4 + c) + -3 9 + 9c = (4 * 3 + c * 3) + -3 9 + 9c = (12 + 3c) + -3 Reorder the terms: 9 + 9c = 12 + -3 + 3c Combine like terms: 12 + -3 = 9 9 + 9c = 9 + 3c Add '-9' to each side of the equation. 9 + -9 + 9c = 9 + -9 + 3c Combine like terms: 9 + -9 = 0 0 + 9c = 9 + -9 + 3c 9c = 9 + -9 + 3c Combine like terms: 9 + -9 = 0 9c = 0 + 3c 9c = 3c Solving 9c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 9c + -3c = 3c + -3c Combine like terms: 9c + -3c = 6c 6c = 3c + -3c Combine like terms: 3c + -3c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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