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Simplifying 2(4 + 3k) + 10 = 2k (4 * 2 + 3k * 2) + 10 = 2k (8 + 6k) + 10 = 2k Reorder the terms: 8 + 10 + 6k = 2k Combine like terms: 8 + 10 = 18 18 + 6k = 2k Solving 18 + 6k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 18 + 6k + -2k = 2k + -2k Combine like terms: 6k + -2k = 4k 18 + 4k = 2k + -2k Combine like terms: 2k + -2k = 0 18 + 4k = 0 Add '-18' to each side of the equation. 18 + -18 + 4k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4k = 0 + -18 4k = 0 + -18 Combine like terms: 0 + -18 = -18 4k = -18 Divide each side by '4'. k = -4.5 Simplifying k = -4.5
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