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Simplifying k = 10 + 2(2k + 4) Reorder the terms: k = 10 + 2(4 + 2k) k = 10 + (4 * 2 + 2k * 2) k = 10 + (8 + 4k) Combine like terms: 10 + 8 = 18 k = 18 + 4k Solving k = 18 + 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. k + -4k = 18 + 4k + -4k Combine like terms: k + -4k = -3k -3k = 18 + 4k + -4k Combine like terms: 4k + -4k = 0 -3k = 18 + 0 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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