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Simplifying -1(k + -3) + 3k = -25 + 6k Reorder the terms: -1(-3 + k) + 3k = -25 + 6k (-3 * -1 + k * -1) + 3k = -25 + 6k (3 + -1k) + 3k = -25 + 6k Combine like terms: -1k + 3k = 2k 3 + 2k = -25 + 6k Solving 3 + 2k = -25 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 3 + 2k + -6k = -25 + 6k + -6k Combine like terms: 2k + -6k = -4k 3 + -4k = -25 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + -4k = -25 + 0 3 + -4k = -25 Add '-3' to each side of the equation. 3 + -3 + -4k = -25 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = -25 + -3 -4k = -25 + -3 Combine like terms: -25 + -3 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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