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Simplifying 13(8c + -1) + -2 = 102c + 13 Reorder the terms: 13(-1 + 8c) + -2 = 102c + 13 (-1 * 13 + 8c * 13) + -2 = 102c + 13 (-13 + 104c) + -2 = 102c + 13 Reorder the terms: -13 + -2 + 104c = 102c + 13 Combine like terms: -13 + -2 = -15 -15 + 104c = 102c + 13 Reorder the terms: -15 + 104c = 13 + 102c Solving -15 + 104c = 13 + 102c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-102c' to each side of the equation. -15 + 104c + -102c = 13 + 102c + -102c Combine like terms: 104c + -102c = 2c -15 + 2c = 13 + 102c + -102c Combine like terms: 102c + -102c = 0 -15 + 2c = 13 + 0 -15 + 2c = 13 Add '15' to each side of the equation. -15 + 15 + 2c = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 13 + 15 2c = 13 + 15 Combine like terms: 13 + 15 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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