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Simplifying -1(k + -1) = -3(2k + 3) Reorder the terms: -1(-1 + k) = -3(2k + 3) (-1 * -1 + k * -1) = -3(2k + 3) (1 + -1k) = -3(2k + 3) Reorder the terms: 1 + -1k = -3(3 + 2k) 1 + -1k = (3 * -3 + 2k * -3) 1 + -1k = (-9 + -6k) Solving 1 + -1k = -9 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 1 + -1k + 6k = -9 + -6k + 6k Combine like terms: -1k + 6k = 5k 1 + 5k = -9 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + 5k = -9 + 0 1 + 5k = -9 Add '-1' to each side of the equation. 1 + -1 + 5k = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = -9 + -1 5k = -9 + -1 Combine like terms: -9 + -1 = -10 5k = -10 Divide each side by '5'. k = -2 Simplifying k = -2
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