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