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Simplifying -5(k + -7) + -1(4 + -4k) = -2k Reorder the terms: -5(-7 + k) + -1(4 + -4k) = -2k (-7 * -5 + k * -5) + -1(4 + -4k) = -2k (35 + -5k) + -1(4 + -4k) = -2k 35 + -5k + (4 * -1 + -4k * -1) = -2k 35 + -5k + (-4 + 4k) = -2k Reorder the terms: 35 + -4 + -5k + 4k = -2k Combine like terms: 35 + -4 = 31 31 + -5k + 4k = -2k Combine like terms: -5k + 4k = -1k 31 + -1k = -2k Solving 31 + -1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 31 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k 31 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 31 + 1k = 0 Add '-31' to each side of the equation. 31 + -31 + 1k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1k = 0 + -31 1k = 0 + -31 Combine like terms: 0 + -31 = -31 1k = -31 Divide each side by '1'. k = -31 Simplifying k = -31
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