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Simplifying 3k + 9 = 4k + -5 Reorder the terms: 9 + 3k = 4k + -5 Reorder the terms: 9 + 3k = -5 + 4k Solving 9 + 3k = -5 + 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 + 3k + -4k = -5 + 4k + -4k Combine like terms: 3k + -4k = -1k 9 + -1k = -5 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -1k = -5 + 0 9 + -1k = -5 Add '-9' to each side of the equation. 9 + -9 + -1k = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = -5 + -9 -1k = -5 + -9 Combine like terms: -5 + -9 = -14 -1k = -14 Divide each side by '-1'. k = 14 Simplifying k = 14
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