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Simplifying 2(4 + 2k) = k + -10 (4 * 2 + 2k * 2) = k + -10 (8 + 4k) = k + -10 Reorder the terms: 8 + 4k = -10 + k Solving 8 + 4k = -10 + 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. 8 + 4k + -1k = -10 + k + -1k Combine like terms: 4k + -1k = 3k 8 + 3k = -10 + k + -1k Combine like terms: k + -1k = 0 8 + 3k = -10 + 0 8 + 3k = -10 Add '-8' to each side of the equation. 8 + -8 + 3k = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = -10 + -8 3k = -10 + -8 Combine like terms: -10 + -8 = -18 3k = -18 Divide each side by '3'. k = -6 Simplifying k = -6
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