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Simplifying 11c + -5 = 2(4c + 5) + c + -3 Reorder the terms: -5 + 11c = 2(4c + 5) + c + -3 Reorder the terms: -5 + 11c = 2(5 + 4c) + c + -3 -5 + 11c = (5 * 2 + 4c * 2) + c + -3 -5 + 11c = (10 + 8c) + c + -3 Reorder the terms: -5 + 11c = 10 + -3 + 8c + c Combine like terms: 10 + -3 = 7 -5 + 11c = 7 + 8c + c Combine like terms: 8c + c = 9c -5 + 11c = 7 + 9c Solving -5 + 11c = 7 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -5 + 11c + -9c = 7 + 9c + -9c Combine like terms: 11c + -9c = 2c -5 + 2c = 7 + 9c + -9c Combine like terms: 9c + -9c = 0 -5 + 2c = 7 + 0 -5 + 2c = 7 Add '5' to each side of the equation. -5 + 5 + 2c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 7 + 5 2c = 7 + 5 Combine like terms: 7 + 5 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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