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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 = -5k 18 + -5k = k + -1k Combine like terms: k + -1k = 0 18 + -5k = 0 Add '-18' to each side of the equation. 18 + -18 + -5k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 0 + -18 -5k = 0 + -18 Combine like terms: 0 + -18 = -18 -5k = -18 Divide each side by '-5'. k = 3.6 Simplifying k = 3.6
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