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Simplifying 7k + -1(-4 + -1k) = -2(-1 + -3k) 7k + (-4 * -1 + -1k * -1) = -2(-1 + -3k) 7k + (4 + 1k) = -2(-1 + -3k) Reorder the terms: 4 + 7k + 1k = -2(-1 + -3k) Combine like terms: 7k + 1k = 8k 4 + 8k = -2(-1 + -3k) 4 + 8k = (-1 * -2 + -3k * -2) 4 + 8k = (2 + 6k) Solving 4 + 8k = 2 + 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. 4 + 8k + -6k = 2 + 6k + -6k Combine like terms: 8k + -6k = 2k 4 + 2k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 4 + 2k = 2 + 0 4 + 2k = 2 Add '-4' to each side of the equation. 4 + -4 + 2k = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 2 + -4 2k = 2 + -4 Combine like terms: 2 + -4 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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