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Simplifying 4(k + 3) = 3(k + 5) Reorder the terms: 4(3 + k) = 3(k + 5) (3 * 4 + k * 4) = 3(k + 5) (12 + 4k) = 3(k + 5) Reorder the terms: 12 + 4k = 3(5 + k) 12 + 4k = (5 * 3 + k * 3) 12 + 4k = (15 + 3k) Solving 12 + 4k = 15 + 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. 12 + 4k + -3k = 15 + 3k + -3k Combine like terms: 4k + -3k = 1k 12 + 1k = 15 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + 1k = 15 + 0 12 + 1k = 15 Add '-12' to each side of the equation. 12 + -12 + 1k = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = 15 + -12 1k = 15 + -12 Combine like terms: 15 + -12 = 3 1k = 3 Divide each side by '1'. k = 3 Simplifying k = 3
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