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Simplifying 4(k + 2) + -4 = 2k Reorder the terms: 4(2 + k) + -4 = 2k (2 * 4 + k * 4) + -4 = 2k (8 + 4k) + -4 = 2k Reorder the terms: 8 + -4 + 4k = 2k Combine like terms: 8 + -4 = 4 4 + 4k = 2k Solving 4 + 4k = 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 = 2k + -2k Combine like terms: 4k + -2k = 2k 4 + 2k = 2k + -2k Combine like terms: 2k + -2k = 0 4 + 2k = 0 Add '-4' to each side of the equation. 4 + -4 + 2k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 0 + -4 2k = 0 + -4 Combine like terms: 0 + -4 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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