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