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Simplifying 5(7c + -1) + -14 = 33c + 5 Reorder the terms: 5(-1 + 7c) + -14 = 33c + 5 (-1 * 5 + 7c * 5) + -14 = 33c + 5 (-5 + 35c) + -14 = 33c + 5 Reorder the terms: -5 + -14 + 35c = 33c + 5 Combine like terms: -5 + -14 = -19 -19 + 35c = 33c + 5 Reorder the terms: -19 + 35c = 5 + 33c Solving -19 + 35c = 5 + 33c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-33c' to each side of the equation. -19 + 35c + -33c = 5 + 33c + -33c Combine like terms: 35c + -33c = 2c -19 + 2c = 5 + 33c + -33c Combine like terms: 33c + -33c = 0 -19 + 2c = 5 + 0 -19 + 2c = 5 Add '19' to each side of the equation. -19 + 19 + 2c = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 5 + 19 2c = 5 + 19 Combine like terms: 5 + 19 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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