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Simplifying -1k + 9 = -4k + 3 Reorder the terms: 9 + -1k = -4k + 3 Reorder the terms: 9 + -1k = 3 + -4k Solving 9 + -1k = 3 + -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. 9 + -1k + 4k = 3 + -4k + 4k Combine like terms: -1k + 4k = 3k 9 + 3k = 3 + -4k + 4k Combine like terms: -4k + 4k = 0 9 + 3k = 3 + 0 9 + 3k = 3 Add '-9' to each side of the equation. 9 + -9 + 3k = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 3 + -9 3k = 3 + -9 Combine like terms: 3 + -9 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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