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Simplifying 2(5c + -1) + -14 = 8c + 2 Reorder the terms: 2(-1 + 5c) + -14 = 8c + 2 (-1 * 2 + 5c * 2) + -14 = 8c + 2 (-2 + 10c) + -14 = 8c + 2 Reorder the terms: -2 + -14 + 10c = 8c + 2 Combine like terms: -2 + -14 = -16 -16 + 10c = 8c + 2 Reorder the terms: -16 + 10c = 2 + 8c Solving -16 + 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. -16 + 10c + -8c = 2 + 8c + -8c Combine like terms: 10c + -8c = 2c -16 + 2c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -16 + 2c = 2 + 0 -16 + 2c = 2 Add '16' to each side of the equation. -16 + 16 + 2c = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 2c = 2 + 16 2c = 2 + 16 Combine like terms: 2 + 16 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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