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Simplifying 8 + -1k + 2(4 + -2k) = k + 2k 8 + -1k + (4 * 2 + -2k * 2) = k + 2k 8 + -1k + (8 + -4k) = k + 2k Reorder the terms: 8 + 8 + -1k + -4k = k + 2k Combine like terms: 8 + 8 = 16 16 + -1k + -4k = k + 2k Combine like terms: -1k + -4k = -5k 16 + -5k = k + 2k Combine like terms: k + 2k = 3k 16 + -5k = 3k Solving 16 + -5k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 16 + -5k + -3k = 3k + -3k Combine like terms: -5k + -3k = -8k 16 + -8k = 3k + -3k Combine like terms: 3k + -3k = 0 16 + -8k = 0 Add '-16' to each side of the equation. 16 + -16 + -8k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8k = 0 + -16 -8k = 0 + -16 Combine like terms: 0 + -16 = -16 -8k = -16 Divide each side by '-8'. k = 2 Simplifying k = 2
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