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Simplifying 4k + 13 + 2k + -4 = 3k Reorder the terms: 13 + -4 + 4k + 2k = 3k Combine like terms: 13 + -4 = 9 9 + 4k + 2k = 3k Combine like terms: 4k + 2k = 6k 9 + 6k = 3k Solving 9 + 6k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 9 + 6k + -3k = 3k + -3k Combine like terms: 6k + -3k = 3k 9 + 3k = 3k + -3k Combine like terms: 3k + -3k = 0 9 + 3k = 0 Add '-9' to each side of the equation. 9 + -9 + 3k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 0 + -9 3k = 0 + -9 Combine like terms: 0 + -9 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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