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Simplifying 5c + -15 + 9c = 3c + 29 Reorder the terms: -15 + 5c + 9c = 3c + 29 Combine like terms: 5c + 9c = 14c -15 + 14c = 3c + 29 Reorder the terms: -15 + 14c = 29 + 3c Solving -15 + 14c = 29 + 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. -15 + 14c + -3c = 29 + 3c + -3c Combine like terms: 14c + -3c = 11c -15 + 11c = 29 + 3c + -3c Combine like terms: 3c + -3c = 0 -15 + 11c = 29 + 0 -15 + 11c = 29 Add '15' to each side of the equation. -15 + 15 + 11c = 29 + 15 Combine like terms: -15 + 15 = 0 0 + 11c = 29 + 15 11c = 29 + 15 Combine like terms: 29 + 15 = 44 11c = 44 Divide each side by '11'. c = 4 Simplifying c = 4
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