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Simplifying 5c + 2(11 + -4c) = 13(3c + -2) 5c + (11 * 2 + -4c * 2) = 13(3c + -2) 5c + (22 + -8c) = 13(3c + -2) Reorder the terms: 22 + 5c + -8c = 13(3c + -2) Combine like terms: 5c + -8c = -3c 22 + -3c = 13(3c + -2) Reorder the terms: 22 + -3c = 13(-2 + 3c) 22 + -3c = (-2 * 13 + 3c * 13) 22 + -3c = (-26 + 39c) Solving 22 + -3c = -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. 22 + -3c + -39c = -26 + 39c + -39c Combine like terms: -3c + -39c = -42c 22 + -42c = -26 + 39c + -39c Combine like terms: 39c + -39c = 0 22 + -42c = -26 + 0 22 + -42c = -26 Add '-22' to each side of the equation. 22 + -22 + -42c = -26 + -22 Combine like terms: 22 + -22 = 0 0 + -42c = -26 + -22 -42c = -26 + -22 Combine like terms: -26 + -22 = -48 -42c = -48 Divide each side by '-42'. c = 1.142857143 Simplifying c = 1.142857143
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