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Simplifying -3(k + -8) + -1(k + 5) = 25 Reorder the terms: -3(-8 + k) + -1(k + 5) = 25 (-8 * -3 + k * -3) + -1(k + 5) = 25 (24 + -3k) + -1(k + 5) = 25 Reorder the terms: 24 + -3k + -1(5 + k) = 25 24 + -3k + (5 * -1 + k * -1) = 25 24 + -3k + (-5 + -1k) = 25 Reorder the terms: 24 + -5 + -3k + -1k = 25 Combine like terms: 24 + -5 = 19 19 + -3k + -1k = 25 Combine like terms: -3k + -1k = -4k 19 + -4k = 25 Solving 19 + -4k = 25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4k = 25 + -19 Combine like terms: 19 + -19 = 0 0 + -4k = 25 + -19 -4k = 25 + -19 Combine like terms: 25 + -19 = 6 -4k = 6 Divide each side by '-4'. k = -1.5 Simplifying k = -1.5
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