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