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Simplifying 16 + -2(k + -1) = 4(3 + -1k) Reorder the terms: 16 + -2(-1 + k) = 4(3 + -1k) 16 + (-1 * -2 + k * -2) = 4(3 + -1k) 16 + (2 + -2k) = 4(3 + -1k) Combine like terms: 16 + 2 = 18 18 + -2k = 4(3 + -1k) 18 + -2k = (3 * 4 + -1k * 4) 18 + -2k = (12 + -4k) Solving 18 + -2k = 12 + -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 + -2k + 4k = 12 + -4k + 4k Combine like terms: -2k + 4k = 2k 18 + 2k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 18 + 2k = 12 + 0 18 + 2k = 12 Add '-18' to each side of the equation. 18 + -18 + 2k = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 12 + -18 2k = 12 + -18 Combine like terms: 12 + -18 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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