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Simplifying 2(4c + -1) + -18 = 6c + 2 Reorder the terms: 2(-1 + 4c) + -18 = 6c + 2 (-1 * 2 + 4c * 2) + -18 = 6c + 2 (-2 + 8c) + -18 = 6c + 2 Reorder the terms: -2 + -18 + 8c = 6c + 2 Combine like terms: -2 + -18 = -20 -20 + 8c = 6c + 2 Reorder the terms: -20 + 8c = 2 + 6c Solving -20 + 8c = 2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -20 + 8c + -6c = 2 + 6c + -6c Combine like terms: 8c + -6c = 2c -20 + 2c = 2 + 6c + -6c Combine like terms: 6c + -6c = 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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