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Simplifying 2(k + 5) + -1(6k + -7) = -5k Reorder the terms: 2(5 + k) + -1(6k + -7) = -5k (5 * 2 + k * 2) + -1(6k + -7) = -5k (10 + 2k) + -1(6k + -7) = -5k Reorder the terms: 10 + 2k + -1(-7 + 6k) = -5k 10 + 2k + (-7 * -1 + 6k * -1) = -5k 10 + 2k + (7 + -6k) = -5k Reorder the terms: 10 + 7 + 2k + -6k = -5k Combine like terms: 10 + 7 = 17 17 + 2k + -6k = -5k Combine like terms: 2k + -6k = -4k 17 + -4k = -5k Solving 17 + -4k = -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. 17 + -4k + 5k = -5k + 5k Combine like terms: -4k + 5k = 1k 17 + 1k = -5k + 5k Combine like terms: -5k + 5k = 0 17 + 1k = 0 Add '-17' to each side of the equation. 17 + -17 + 1k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1k = 0 + -17 1k = 0 + -17 Combine like terms: 0 + -17 = -17 1k = -17 Divide each side by '1'. k = -17 Simplifying k = -17
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