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Simplifying 24 + 6k = 4(k + 4) Reorder the terms: 24 + 6k = 4(4 + k) 24 + 6k = (4 * 4 + k * 4) 24 + 6k = (16 + 4k) Solving 24 + 6k = 16 + 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. 24 + 6k + -4k = 16 + 4k + -4k Combine like terms: 6k + -4k = 2k 24 + 2k = 16 + 4k + -4k Combine like terms: 4k + -4k = 0 24 + 2k = 16 + 0 24 + 2k = 16 Add '-24' to each side of the equation. 24 + -24 + 2k = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 2k = 16 + -24 2k = 16 + -24 Combine like terms: 16 + -24 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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