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Simplifying -1(k + 2) + 2k = -6 + 3k Reorder the terms: -1(2 + k) + 2k = -6 + 3k (2 * -1 + k * -1) + 2k = -6 + 3k (-2 + -1k) + 2k = -6 + 3k Combine like terms: -1k + 2k = 1k -2 + 1k = -6 + 3k Solving -2 + 1k = -6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -2 + 1k + -3k = -6 + 3k + -3k Combine like terms: 1k + -3k = -2k -2 + -2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + -2k = -6 + 0 -2 + -2k = -6 Add '2' to each side of the equation. -2 + 2 + -2k = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = -6 + 2 -2k = -6 + 2 Combine like terms: -6 + 2 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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