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Simplifying 18(7c + -1) + -12 = 124c + 18 Reorder the terms: 18(-1 + 7c) + -12 = 124c + 18 (-1 * 18 + 7c * 18) + -12 = 124c + 18 (-18 + 126c) + -12 = 124c + 18 Reorder the terms: -18 + -12 + 126c = 124c + 18 Combine like terms: -18 + -12 = -30 -30 + 126c = 124c + 18 Reorder the terms: -30 + 126c = 18 + 124c Solving -30 + 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. -30 + 126c + -124c = 18 + 124c + -124c Combine like terms: 126c + -124c = 2c -30 + 2c = 18 + 124c + -124c Combine like terms: 124c + -124c = 0 -30 + 2c = 18 + 0 -30 + 2c = 18 Add '30' to each side of the equation. -30 + 30 + 2c = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 2c = 18 + 30 2c = 18 + 30 Combine like terms: 18 + 30 = 48 2c = 48 Divide each side by '2'. c = 24 Simplifying c = 24
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