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Simplifying 4k + 9 = 3k + -5 Reorder the terms: 9 + 4k = 3k + -5 Reorder the terms: 9 + 4k = -5 + 3k Solving 9 + 4k = -5 + 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 + 4k + -3k = -5 + 3k + -3k Combine like terms: 4k + -3k = 1k 9 + 1k = -5 + 3k + -3k Combine like terms: 3k + -3k = 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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