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Simplifying -1(k + -3) = 31 + 3k Reorder the terms: -1(-3 + k) = 31 + 3k (-3 * -1 + k * -1) = 31 + 3k (3 + -1k) = 31 + 3k Solving 3 + -1k = 31 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 3 + -1k + -3k = 31 + 3k + -3k Combine like terms: -1k + -3k = -4k 3 + -4k = 31 + 3k + -3k Combine like terms: 3k + -3k = 0 3 + -4k = 31 + 0 3 + -4k = 31 Add '-3' to each side of the equation. 3 + -3 + -4k = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = 31 + -3 -4k = 31 + -3 Combine like terms: 31 + -3 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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