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Simplifying 5(-1c + 2) + -2(-5 + -1c) + 1(-8c + 2) = -11 Reorder the terms: 5(2 + -1c) + -2(-5 + -1c) + 1(-8c + 2) = -11 (2 * 5 + -1c * 5) + -2(-5 + -1c) + 1(-8c + 2) = -11 (10 + -5c) + -2(-5 + -1c) + 1(-8c + 2) = -11 10 + -5c + (-5 * -2 + -1c * -2) + 1(-8c + 2) = -11 10 + -5c + (10 + 2c) + 1(-8c + 2) = -11 Reorder the terms: 10 + -5c + 10 + 2c + 1(2 + -8c) = -11 10 + -5c + 10 + 2c + (2 * 1 + -8c * 1) = -11 10 + -5c + 10 + 2c + (2 + -8c) = -11 Reorder the terms: 10 + 10 + 2 + -5c + 2c + -8c = -11 Combine like terms: 10 + 10 = 20 20 + 2 + -5c + 2c + -8c = -11 Combine like terms: 20 + 2 = 22 22 + -5c + 2c + -8c = -11 Combine like terms: -5c + 2c = -3c 22 + -3c + -8c = -11 Combine like terms: -3c + -8c = -11c 22 + -11c = -11 Solving 22 + -11c = -11 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -11c = -11 + -22 Combine like terms: 22 + -22 = 0 0 + -11c = -11 + -22 -11c = -11 + -22 Combine like terms: -11 + -22 = -33 -11c = -33 Divide each side by '-11'. c = 3 Simplifying c = 3
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