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Simplifying -1 + -1(k + -2) = -5k + -11 Reorder the terms: -1 + -1(-2 + k) = -5k + -11 -1 + (-2 * -1 + k * -1) = -5k + -11 -1 + (2 + -1k) = -5k + -11 Combine like terms: -1 + 2 = 1 1 + -1k = -5k + -11 Reorder the terms: 1 + -1k = -11 + -5k Solving 1 + -1k = -11 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 1 + -1k + 5k = -11 + -5k + 5k Combine like terms: -1k + 5k = 4k 1 + 4k = -11 + -5k + 5k Combine like terms: -5k + 5k = 0 1 + 4k = -11 + 0 1 + 4k = -11 Add '-1' to each side of the equation. 1 + -1 + 4k = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = -11 + -1 4k = -11 + -1 Combine like terms: -11 + -1 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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