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Simplifying -7k + 8k = 13 + 4k + 4 + 1 Combine like terms: -7k + 8k = 1k 1k = 13 + 4k + 4 + 1 Reorder the terms: 1k = 13 + 4 + 1 + 4k Combine like terms: 13 + 4 = 17 1k = 17 + 1 + 4k Combine like terms: 17 + 1 = 18 1k = 18 + 4k Solving 1k = 18 + 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. 1k + -4k = 18 + 4k + -4k Combine like terms: 1k + -4k = -3k -3k = 18 + 4k + -4k Combine like terms: 4k + -4k = 0 -3k = 18 + 0 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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