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Simplifying 2(5c + 1) + -16 = 8c + 2 Reorder the terms: 2(1 + 5c) + -16 = 8c + 2 (1 * 2 + 5c * 2) + -16 = 8c + 2 (2 + 10c) + -16 = 8c + 2 Reorder the terms: 2 + -16 + 10c = 8c + 2 Combine like terms: 2 + -16 = -14 -14 + 10c = 8c + 2 Reorder the terms: -14 + 10c = 2 + 8c Solving -14 + 10c = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -14 + 10c + -8c = 2 + 8c + -8c Combine like terms: 10c + -8c = 2c -14 + 2c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -14 + 2c = 2 + 0 -14 + 2c = 2 Add '14' to each side of the equation. -14 + 14 + 2c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 2 + 14 2c = 2 + 14 Combine like terms: 2 + 14 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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