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Simplifying -2(k + 2) = 4k + 8 Reorder the terms: -2(2 + k) = 4k + 8 (2 * -2 + k * -2) = 4k + 8 (-4 + -2k) = 4k + 8 Reorder the terms: -4 + -2k = 8 + 4k Solving -4 + -2k = 8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -4 + -2k + -4k = 8 + 4k + -4k Combine like terms: -2k + -4k = -6k -4 + -6k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 -4 + -6k = 8 + 0 -4 + -6k = 8 Add '4' to each side of the equation. -4 + 4 + -6k = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6k = 8 + 4 -6k = 8 + 4 Combine like terms: 8 + 4 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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