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Simplifying 5k = 4(k + 3) + -3k Reorder the terms: 5k = 4(3 + k) + -3k 5k = (3 * 4 + k * 4) + -3k 5k = (12 + 4k) + -3k Combine like terms: 4k + -3k = 1k 5k = 12 + 1k Solving 5k = 12 + 1k 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. 5k + -1k = 12 + 1k + -1k Combine like terms: 5k + -1k = 4k 4k = 12 + 1k + -1k Combine like terms: 1k + -1k = 0 4k = 12 + 0 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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