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Simplifying 4 + -4k = 2k + -6 + -8 Reorder the terms: 4 + -4k = -6 + -8 + 2k Combine like terms: -6 + -8 = -14 4 + -4k = -14 + 2k Solving 4 + -4k = -14 + 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. 4 + -4k + -2k = -14 + 2k + -2k Combine like terms: -4k + -2k = -6k 4 + -6k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + -6k = -14 + 0 4 + -6k = -14 Add '-4' to each side of the equation. 4 + -4 + -6k = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6k = -14 + -4 -6k = -14 + -4 Combine like terms: -14 + -4 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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