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Simplifying -3(1 + -1k) = 5k + 9 (1 * -3 + -1k * -3) = 5k + 9 (-3 + 3k) = 5k + 9 Reorder the terms: -3 + 3k = 9 + 5k Solving -3 + 3k = 9 + 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. -3 + 3k + -5k = 9 + 5k + -5k Combine like terms: 3k + -5k = -2k -3 + -2k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 -3 + -2k = 9 + 0 -3 + -2k = 9 Add '3' to each side of the equation. -3 + 3 + -2k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2k = 9 + 3 -2k = 9 + 3 Combine like terms: 9 + 3 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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