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Simplifying 6(k + 3) = 0.25(16 + 16k) Reorder the terms: 6(3 + k) = 0.25(16 + 16k) (3 * 6 + k * 6) = 0.25(16 + 16k) (18 + 6k) = 0.25(16 + 16k) 18 + 6k = (16 * 0.25 + 16k * 0.25) 18 + 6k = (4 + 4k) Solving 18 + 6k = 4 + 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. 18 + 6k + -4k = 4 + 4k + -4k Combine like terms: 6k + -4k = 2k 18 + 2k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 18 + 2k = 4 + 0 18 + 2k = 4 Add '-18' to each side of the equation. 18 + -18 + 2k = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 4 + -18 2k = 4 + -18 Combine like terms: 4 + -18 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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