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Simplifying 4(k + 4) = 6(1 + -1k) Reorder the terms: 4(4 + k) = 6(1 + -1k) (4 * 4 + k * 4) = 6(1 + -1k) (16 + 4k) = 6(1 + -1k) 16 + 4k = (1 * 6 + -1k * 6) 16 + 4k = (6 + -6k) Solving 16 + 4k = 6 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 16 + 4k + 6k = 6 + -6k + 6k Combine like terms: 4k + 6k = 10k 16 + 10k = 6 + -6k + 6k Combine like terms: -6k + 6k = 0 16 + 10k = 6 + 0 16 + 10k = 6 Add '-16' to each side of the equation. 16 + -16 + 10k = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 10k = 6 + -16 10k = 6 + -16 Combine like terms: 6 + -16 = -10 10k = -10 Divide each side by '10'. k = -1 Simplifying k = -1
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