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Simplifying 13(6c + -1) + -4 = 76c + 13 Reorder the terms: 13(-1 + 6c) + -4 = 76c + 13 (-1 * 13 + 6c * 13) + -4 = 76c + 13 (-13 + 78c) + -4 = 76c + 13 Reorder the terms: -13 + -4 + 78c = 76c + 13 Combine like terms: -13 + -4 = -17 -17 + 78c = 76c + 13 Reorder the terms: -17 + 78c = 13 + 76c Solving -17 + 78c = 13 + 76c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-76c' to each side of the equation. -17 + 78c + -76c = 13 + 76c + -76c Combine like terms: 78c + -76c = 2c -17 + 2c = 13 + 76c + -76c Combine like terms: 76c + -76c = 0 -17 + 2c = 13 + 0 -17 + 2c = 13 Add '17' to each side of the equation. -17 + 17 + 2c = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 13 + 17 2c = 13 + 17 Combine like terms: 13 + 17 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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