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Simplifying -13 + 4k = k + 8 Reorder the terms: -13 + 4k = 8 + k Solving -13 + 4k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -13 + 4k + -1k = 8 + k + -1k Combine like terms: 4k + -1k = 3k -13 + 3k = 8 + k + -1k Combine like terms: k + -1k = 0 -13 + 3k = 8 + 0 -13 + 3k = 8 Add '13' to each side of the equation. -13 + 13 + 3k = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3k = 8 + 13 3k = 8 + 13 Combine like terms: 8 + 13 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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