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Simplifying 7(7c + 1) + -4c = 13(3c + 2) Reorder the terms: 7(1 + 7c) + -4c = 13(3c + 2) (1 * 7 + 7c * 7) + -4c = 13(3c + 2) (7 + 49c) + -4c = 13(3c + 2) Combine like terms: 49c + -4c = 45c 7 + 45c = 13(3c + 2) Reorder the terms: 7 + 45c = 13(2 + 3c) 7 + 45c = (2 * 13 + 3c * 13) 7 + 45c = (26 + 39c) Solving 7 + 45c = 26 + 39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39c' to each side of the equation. 7 + 45c + -39c = 26 + 39c + -39c Combine like terms: 45c + -39c = 6c 7 + 6c = 26 + 39c + -39c Combine like terms: 39c + -39c = 0 7 + 6c = 26 + 0 7 + 6c = 26 Add '-7' to each side of the equation. 7 + -7 + 6c = 26 + -7 Combine like terms: 7 + -7 = 0 0 + 6c = 26 + -7 6c = 26 + -7 Combine like terms: 26 + -7 = 19 6c = 19 Divide each side by '6'. c = 3.166666667 Simplifying c = 3.166666667
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