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Simplifying 2(4k + -2) + -2k = 0 Reorder the terms: 2(-2 + 4k) + -2k = 0 (-2 * 2 + 4k * 2) + -2k = 0 (-4 + 8k) + -2k = 0 Combine like terms: 8k + -2k = 6k -4 + 6k = 0 Solving -4 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 0 + 4 6k = 0 + 4 Combine like terms: 0 + 4 = 4 6k = 4 Divide each side by '6'. k = 0.6666666667 Simplifying k = 0.6666666667
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