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Simplifying 18(7c + -1) + -10 = 124c + 18 Reorder the terms: 18(-1 + 7c) + -10 = 124c + 18 (-1 * 18 + 7c * 18) + -10 = 124c + 18 (-18 + 126c) + -10 = 124c + 18 Reorder the terms: -18 + -10 + 126c = 124c + 18 Combine like terms: -18 + -10 = -28 -28 + 126c = 124c + 18 Reorder the terms: -28 + 126c = 18 + 124c Solving -28 + 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. -28 + 126c + -124c = 18 + 124c + -124c Combine like terms: 126c + -124c = 2c -28 + 2c = 18 + 124c + -124c Combine like terms: 124c + -124c = 0 -28 + 2c = 18 + 0 -28 + 2c = 18 Add '28' to each side of the equation. -28 + 28 + 2c = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 2c = 18 + 28 2c = 18 + 28 Combine like terms: 18 + 28 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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