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Simplifying -1(5k + 3) = 9 + -2k Reorder the terms: -1(3 + 5k) = 9 + -2k (3 * -1 + 5k * -1) = 9 + -2k (-3 + -5k) = 9 + -2k Solving -3 + -5k = 9 + -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. -3 + -5k + 2k = 9 + -2k + 2k Combine like terms: -5k + 2k = -3k -3 + -3k = 9 + -2k + 2k Combine like terms: -2k + 2k = 0 -3 + -3k = 9 + 0 -3 + -3k = 9 Add '3' to each side of the equation. -3 + 3 + -3k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -3k = 9 + 3 -3k = 9 + 3 Combine like terms: 9 + 3 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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