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Simplifying 3c + -4c + 13c + -4c + 13c + -4c + 1 = 5c + 2 + 3 Reorder the terms: 1 + 3c + -4c + 13c + -4c + 13c + -4c = 5c + 2 + 3 Combine like terms: 3c + -4c = -1c 1 + -1c + 13c + -4c + 13c + -4c = 5c + 2 + 3 Combine like terms: -1c + 13c = 12c 1 + 12c + -4c + 13c + -4c = 5c + 2 + 3 Combine like terms: 12c + -4c = 8c 1 + 8c + 13c + -4c = 5c + 2 + 3 Combine like terms: 8c + 13c = 21c 1 + 21c + -4c = 5c + 2 + 3 Combine like terms: 21c + -4c = 17c 1 + 17c = 5c + 2 + 3 Reorder the terms: 1 + 17c = 2 + 3 + 5c Combine like terms: 2 + 3 = 5 1 + 17c = 5 + 5c Solving 1 + 17c = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + 17c + -5c = 5 + 5c + -5c Combine like terms: 17c + -5c = 12c 1 + 12c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + 12c = 5 + 0 1 + 12c = 5 Add '-1' to each side of the equation. 1 + -1 + 12c = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 12c = 5 + -1 12c = 5 + -1 Combine like terms: 5 + -1 = 4 12c = 4 Divide each side by '12'. c = 0.3333333333 Simplifying c = 0.3333333333
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