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Simplifying -2(k + 2) = 5(-1k + 1) Reorder the terms: -2(2 + k) = 5(-1k + 1) (2 * -2 + k * -2) = 5(-1k + 1) (-4 + -2k) = 5(-1k + 1) Reorder the terms: -4 + -2k = 5(1 + -1k) -4 + -2k = (1 * 5 + -1k * 5) -4 + -2k = (5 + -5k) Solving -4 + -2k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -4 + -2k + 5k = 5 + -5k + 5k Combine like terms: -2k + 5k = 3k -4 + 3k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 -4 + 3k = 5 + 0 -4 + 3k = 5 Add '4' to each side of the equation. -4 + 4 + 3k = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3k = 5 + 4 3k = 5 + 4 Combine like terms: 5 + 4 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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