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Simplifying -1(31 + -1k) + 24 = -5 (31 * -1 + -1k * -1) + 24 = -5 (-31 + 1k) + 24 = -5 Reorder the terms: -31 + 24 + 1k = -5 Combine like terms: -31 + 24 = -7 -7 + 1k = -5 Solving -7 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1k = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1k = -5 + 7 1k = -5 + 7 Combine like terms: -5 + 7 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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