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Simplifying 3(c + 3) + 6c = 3(c + 7) + 3(c + 4) + -3 Reorder the terms: 3(3 + c) + 6c = 3(c + 7) + 3(c + 4) + -3 (3 * 3 + c * 3) + 6c = 3(c + 7) + 3(c + 4) + -3 (9 + 3c) + 6c = 3(c + 7) + 3(c + 4) + -3 Combine like terms: 3c + 6c = 9c 9 + 9c = 3(c + 7) + 3(c + 4) + -3 Reorder the terms: 9 + 9c = 3(7 + c) + 3(c + 4) + -3 9 + 9c = (7 * 3 + c * 3) + 3(c + 4) + -3 9 + 9c = (21 + 3c) + 3(c + 4) + -3 Reorder the terms: 9 + 9c = 21 + 3c + 3(4 + c) + -3 9 + 9c = 21 + 3c + (4 * 3 + c * 3) + -3 9 + 9c = 21 + 3c + (12 + 3c) + -3 Reorder the terms: 9 + 9c = 21 + 12 + -3 + 3c + 3c Combine like terms: 21 + 12 = 33 9 + 9c = 33 + -3 + 3c + 3c Combine like terms: 33 + -3 = 30 9 + 9c = 30 + 3c + 3c Combine like terms: 3c + 3c = 6c 9 + 9c = 30 + 6c Solving 9 + 9c = 30 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 9 + 9c + -6c = 30 + 6c + -6c Combine like terms: 9c + -6c = 3c 9 + 3c = 30 + 6c + -6c Combine like terms: 6c + -6c = 0 9 + 3c = 30 + 0 9 + 3c = 30 Add '-9' to each side of the equation. 9 + -9 + 3c = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 3c = 30 + -9 3c = 30 + -9 Combine like terms: 30 + -9 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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