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Simplifying -3(1 + -1k) + -1(k + -3) = -8k + 8k (1 * -3 + -1k * -3) + -1(k + -3) = -8k + 8k (-3 + 3k) + -1(k + -3) = -8k + 8k Reorder the terms: -3 + 3k + -1(-3 + k) = -8k + 8k -3 + 3k + (-3 * -1 + k * -1) = -8k + 8k -3 + 3k + (3 + -1k) = -8k + 8k Reorder the terms: -3 + 3 + 3k + -1k = -8k + 8k Combine like terms: -3 + 3 = 0 0 + 3k + -1k = -8k + 8k 3k + -1k = -8k + 8k Combine like terms: 3k + -1k = 2k 2k = -8k + 8k Combine like terms: -8k + 8k = 0 2k = 0 Solving 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '2'. k = 0 Simplifying k = 0
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