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Simplifying -1(k + -9) + 4k + 6 = 7 Reorder the terms: -1(-9 + k) + 4k + 6 = 7 (-9 * -1 + k * -1) + 4k + 6 = 7 (9 + -1k) + 4k + 6 = 7 Reorder the terms: 9 + 6 + -1k + 4k = 7 Combine like terms: 9 + 6 = 15 15 + -1k + 4k = 7 Combine like terms: -1k + 4k = 3k 15 + 3k = 7 Solving 15 + 3k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3k = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = 7 + -15 3k = 7 + -15 Combine like terms: 7 + -15 = -8 3k = -8 Divide each side by '3'. k = -2.666666667 Simplifying k = -2.666666667
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