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Simplifying -2(k + 1) = k + 7 Reorder the terms: -2(1 + k) = k + 7 (1 * -2 + k * -2) = k + 7 (-2 + -2k) = k + 7 Reorder the terms: -2 + -2k = 7 + k Solving -2 + -2k = 7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -2 + -2k + -1k = 7 + k + -1k Combine like terms: -2k + -1k = -3k -2 + -3k = 7 + k + -1k Combine like terms: k + -1k = 0 -2 + -3k = 7 + 0 -2 + -3k = 7 Add '2' to each side of the equation. -2 + 2 + -3k = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3k = 7 + 2 -3k = 7 + 2 Combine like terms: 7 + 2 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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