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Simplifying -6k + 7(k + 8) = 4k + 38 Reorder the terms: -6k + 7(8 + k) = 4k + 38 -6k + (8 * 7 + k * 7) = 4k + 38 -6k + (56 + 7k) = 4k + 38 Reorder the terms: 56 + -6k + 7k = 4k + 38 Combine like terms: -6k + 7k = 1k 56 + 1k = 4k + 38 Reorder the terms: 56 + 1k = 38 + 4k Solving 56 + 1k = 38 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 56 + 1k + -4k = 38 + 4k + -4k Combine like terms: 1k + -4k = -3k 56 + -3k = 38 + 4k + -4k Combine like terms: 4k + -4k = 0 56 + -3k = 38 + 0 56 + -3k = 38 Add '-56' to each side of the equation. 56 + -56 + -3k = 38 + -56 Combine like terms: 56 + -56 = 0 0 + -3k = 38 + -56 -3k = 38 + -56 Combine like terms: 38 + -56 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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