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Simplifying 2(5c + -1) + -18 = 8c + 2 Reorder the terms: 2(-1 + 5c) + -18 = 8c + 2 (-1 * 2 + 5c * 2) + -18 = 8c + 2 (-2 + 10c) + -18 = 8c + 2 Reorder the terms: -2 + -18 + 10c = 8c + 2 Combine like terms: -2 + -18 = -20 -20 + 10c = 8c + 2 Reorder the terms: -20 + 10c = 2 + 8c Solving -20 + 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. -20 + 10c + -8c = 2 + 8c + -8c Combine like terms: 10c + -8c = 2c -20 + 2c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -20 + 2c = 2 + 0 -20 + 2c = 2 Add '20' to each side of the equation. -20 + 20 + 2c = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 2 + 20 2c = 2 + 20 Combine like terms: 2 + 20 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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