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Simplifying 12c + 15c + 30 = 21c + 42 Reorder the terms: 30 + 12c + 15c = 21c + 42 Combine like terms: 12c + 15c = 27c 30 + 27c = 21c + 42 Reorder the terms: 30 + 27c = 42 + 21c Solving 30 + 27c = 42 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. 30 + 27c + -21c = 42 + 21c + -21c Combine like terms: 27c + -21c = 6c 30 + 6c = 42 + 21c + -21c Combine like terms: 21c + -21c = 0 30 + 6c = 42 + 0 30 + 6c = 42 Add '-30' to each side of the equation. 30 + -30 + 6c = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 6c = 42 + -30 6c = 42 + -30 Combine like terms: 42 + -30 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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