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Simplifying 7(7c + 1) = 13(3c + -2) Reorder the terms: 7(1 + 7c) = 13(3c + -2) (1 * 7 + 7c * 7) = 13(3c + -2) (7 + 49c) = 13(3c + -2) Reorder the terms: 7 + 49c = 13(-2 + 3c) 7 + 49c = (-2 * 13 + 3c * 13) 7 + 49c = (-26 + 39c) Solving 7 + 49c = -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 + 49c + -39c = -26 + 39c + -39c Combine like terms: 49c + -39c = 10c 7 + 10c = -26 + 39c + -39c Combine like terms: 39c + -39c = 0 7 + 10c = -26 + 0 7 + 10c = -26 Add '-7' to each side of the equation. 7 + -7 + 10c = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 10c = -26 + -7 10c = -26 + -7 Combine like terms: -26 + -7 = -33 10c = -33 Divide each side by '10'. c = -3.3 Simplifying c = -3.3
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