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Simplifying -1(k + 2) = -3k + -7 Reorder the terms: -1(2 + k) = -3k + -7 (2 * -1 + k * -1) = -3k + -7 (-2 + -1k) = -3k + -7 Reorder the terms: -2 + -1k = -7 + -3k Solving -2 + -1k = -7 + -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 = -7 + -3k + 3k Combine like terms: -1k + 3k = 2k -2 + 2k = -7 + -3k + 3k Combine like terms: -3k + 3k = 0 -2 + 2k = -7 + 0 -2 + 2k = -7 Add '2' to each side of the equation. -2 + 2 + 2k = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = -7 + 2 2k = -7 + 2 Combine like terms: -7 + 2 = -5 2k = -5 Divide each side by '2'. k = -2.5 Simplifying k = -2.5
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