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Simplifying -1(k + -8) + -7 = -11 + 5k Reorder the terms: -1(-8 + k) + -7 = -11 + 5k (-8 * -1 + k * -1) + -7 = -11 + 5k (8 + -1k) + -7 = -11 + 5k Reorder the terms: 8 + -7 + -1k = -11 + 5k Combine like terms: 8 + -7 = 1 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 = -6k 1 + -6k = -11 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -6k = -11 + 0 1 + -6k = -11 Add '-1' to each side of the equation. 1 + -1 + -6k = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -6k = -11 + -1 -6k = -11 + -1 Combine like terms: -11 + -1 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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