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