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Simplifying 13(8c + -1) + -16 = 102c + 13 Reorder the terms: 13(-1 + 8c) + -16 = 102c + 13 (-1 * 13 + 8c * 13) + -16 = 102c + 13 (-13 + 104c) + -16 = 102c + 13 Reorder the terms: -13 + -16 + 104c = 102c + 13 Combine like terms: -13 + -16 = -29 -29 + 104c = 102c + 13 Reorder the terms: -29 + 104c = 13 + 102c Solving -29 + 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. -29 + 104c + -102c = 13 + 102c + -102c Combine like terms: 104c + -102c = 2c -29 + 2c = 13 + 102c + -102c Combine like terms: 102c + -102c = 0 -29 + 2c = 13 + 0 -29 + 2c = 13 Add '29' to each side of the equation. -29 + 29 + 2c = 13 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 13 + 29 2c = 13 + 29 Combine like terms: 13 + 29 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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