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Simplifying -1(k + 3) = -1(-9 + -1k) Reorder the terms: -1(3 + k) = -1(-9 + -1k) (3 * -1 + k * -1) = -1(-9 + -1k) (-3 + -1k) = -1(-9 + -1k) -3 + -1k = (-9 * -1 + -1k * -1) -3 + -1k = (9 + 1k) Solving -3 + -1k = 9 + 1k 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. -3 + -1k + -1k = 9 + 1k + -1k Combine like terms: -1k + -1k = -2k -3 + -2k = 9 + 1k + -1k Combine like terms: 1k + -1k = 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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