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Simplifying 11(6c + -1) + -12 = 64c + 11 Reorder the terms: 11(-1 + 6c) + -12 = 64c + 11 (-1 * 11 + 6c * 11) + -12 = 64c + 11 (-11 + 66c) + -12 = 64c + 11 Reorder the terms: -11 + -12 + 66c = 64c + 11 Combine like terms: -11 + -12 = -23 -23 + 66c = 64c + 11 Reorder the terms: -23 + 66c = 11 + 64c Solving -23 + 66c = 11 + 64c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-64c' to each side of the equation. -23 + 66c + -64c = 11 + 64c + -64c Combine like terms: 66c + -64c = 2c -23 + 2c = 11 + 64c + -64c Combine like terms: 64c + -64c = 0 -23 + 2c = 11 + 0 -23 + 2c = 11 Add '23' to each side of the equation. -23 + 23 + 2c = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 11 + 23 2c = 11 + 23 Combine like terms: 11 + 23 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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