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Simplifying 4(k + 1) = 2(k + 8) Reorder the terms: 4(1 + k) = 2(k + 8) (1 * 4 + k * 4) = 2(k + 8) (4 + 4k) = 2(k + 8) Reorder the terms: 4 + 4k = 2(8 + k) 4 + 4k = (8 * 2 + k * 2) 4 + 4k = (16 + 2k) Solving 4 + 4k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + 4k + -2k = 16 + 2k + -2k Combine like terms: 4k + -2k = 2k 4 + 2k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 2k = 16 + 0 4 + 2k = 16 Add '-4' to each side of the equation. 4 + -4 + 2k = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 16 + -4 2k = 16 + -4 Combine like terms: 16 + -4 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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