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Simplifying 18(7c + -1) + -18 = 124c + 18 Reorder the terms: 18(-1 + 7c) + -18 = 124c + 18 (-1 * 18 + 7c * 18) + -18 = 124c + 18 (-18 + 126c) + -18 = 124c + 18 Reorder the terms: -18 + -18 + 126c = 124c + 18 Combine like terms: -18 + -18 = -36 -36 + 126c = 124c + 18 Reorder the terms: -36 + 126c = 18 + 124c Solving -36 + 126c = 18 + 124c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-124c' to each side of the equation. -36 + 126c + -124c = 18 + 124c + -124c Combine like terms: 126c + -124c = 2c -36 + 2c = 18 + 124c + -124c Combine like terms: 124c + -124c = 0 -36 + 2c = 18 + 0 -36 + 2c = 18 Add '36' to each side of the equation. -36 + 36 + 2c = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 2c = 18 + 36 2c = 18 + 36 Combine like terms: 18 + 36 = 54 2c = 54 Divide each side by '2'. c = 27 Simplifying c = 27
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