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Simplifying -2(2k + 2) + 6k = 0 Reorder the terms: -2(2 + 2k) + 6k = 0 (2 * -2 + 2k * -2) + 6k = 0 (-4 + -4k) + 6k = 0 Combine like terms: -4k + 6k = 2k -4 + 2k = 0 Solving -4 + 2k = 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 + 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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