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Simplifying 2[4 + 2k] + 10 = k [4 * 2 + 2k * 2] + 10 = k [8 + 4k] + 10 = k Reorder the terms: 8 + 10 + 4k = k Combine like terms: 8 + 10 = 18 18 + 4k = k Solving 18 + 4k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 18 + 4k + -1k = k + -1k Combine like terms: 4k + -1k = 3k 18 + 3k = k + -1k Combine like terms: k + -1k = 0 18 + 3k = 0 Add '-18' to each side of the equation. 18 + -18 + 3k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3k = 0 + -18 3k = 0 + -18 Combine like terms: 0 + -18 = -18 3k = -18 Divide each side by '3'. k = -6 Simplifying k = -6
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