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Simplifying -1(2k + 2) = 2k + -6 Reorder the terms: -1(2 + 2k) = 2k + -6 (2 * -1 + 2k * -1) = 2k + -6 (-2 + -2k) = 2k + -6 Reorder the terms: -2 + -2k = -6 + 2k Solving -2 + -2k = -6 + 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. -2 + -2k + -2k = -6 + 2k + -2k Combine like terms: -2k + -2k = -4k -2 + -4k = -6 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + -4k = -6 + 0 -2 + -4k = -6 Add '2' to each side of the equation. -2 + 2 + -4k = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4k = -6 + 2 -4k = -6 + 2 Combine like terms: -6 + 2 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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