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Simplifying -3(2c) + 4(5c) + 11 = 81 Remove parenthesis around (2c) -3 * 2c + 4(5c) + 11 = 81 Multiply -3 * 2 -6c + 4(5c) + 11 = 81 Remove parenthesis around (5c) -6c + 4 * 5c + 11 = 81 Multiply 4 * 5 -6c + 20c + 11 = 81 Reorder the terms: 11 + -6c + 20c = 81 Combine like terms: -6c + 20c = 14c 11 + 14c = 81 Solving 11 + 14c = 81 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14c = 81 + -11 Combine like terms: 11 + -11 = 0 0 + 14c = 81 + -11 14c = 81 + -11 Combine like terms: 81 + -11 = 70 14c = 70 Divide each side by '14'. c = 5 Simplifying c = 5
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