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Simplifying 13(2c + 2) = 2(c + 2) + 3c Reorder the terms: 13(2 + 2c) = 2(c + 2) + 3c (2 * 13 + 2c * 13) = 2(c + 2) + 3c (26 + 26c) = 2(c + 2) + 3c Reorder the terms: 26 + 26c = 2(2 + c) + 3c 26 + 26c = (2 * 2 + c * 2) + 3c 26 + 26c = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 26 + 26c = 4 + 5c Solving 26 + 26c = 4 + 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. 26 + 26c + -5c = 4 + 5c + -5c Combine like terms: 26c + -5c = 21c 26 + 21c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 26 + 21c = 4 + 0 26 + 21c = 4 Add '-26' to each side of the equation. 26 + -26 + 21c = 4 + -26 Combine like terms: 26 + -26 = 0 0 + 21c = 4 + -26 21c = 4 + -26 Combine like terms: 4 + -26 = -22 21c = -22 Divide each side by '21'. c = -1.047619048 Simplifying c = -1.047619048
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