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Simplifying 2(2c + 9) = c Reorder the terms: 2(9 + 2c) = c (9 * 2 + 2c * 2) = c (18 + 4c) = c Solving 18 + 4c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 18 + 4c + -1c = c + -1c Combine like terms: 4c + -1c = 3c 18 + 3c = c + -1c Combine like terms: c + -1c = 0 18 + 3c = 0 Add '-18' to each side of the equation. 18 + -18 + 3c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3c = 0 + -18 3c = 0 + -18 Combine like terms: 0 + -18 = -18 3c = -18 Divide each side by '3'. c = -6 Simplifying c = -6
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