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Simplifying 2(k + 2) = 6k + -6 Reorder the terms: 2(2 + k) = 6k + -6 (2 * 2 + k * 2) = 6k + -6 (4 + 2k) = 6k + -6 Reorder the terms: 4 + 2k = -6 + 6k Solving 4 + 2k = -6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 4 + 2k + -6k = -6 + 6k + -6k Combine like terms: 2k + -6k = -4k 4 + -4k = -6 + 6k + -6k Combine like terms: 6k + -6k = 0 4 + -4k = -6 + 0 4 + -4k = -6 Add '-4' to each side of the equation. 4 + -4 + -4k = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = -6 + -4 -4k = -6 + -4 Combine like terms: -6 + -4 = -10 -4k = -10 Divide each side by '-4'. k = 2.5 Simplifying k = 2.5
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