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Simplifying 404 = -7k + 6(-7k + 2) Reorder the terms: 404 = -7k + 6(2 + -7k) 404 = -7k + (2 * 6 + -7k * 6) 404 = -7k + (12 + -42k) Reorder the terms: 404 = 12 + -7k + -42k Combine like terms: -7k + -42k = -49k 404 = 12 + -49k Solving 404 = 12 + -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. 404 + 49k = 12 + -49k + 49k Combine like terms: -49k + 49k = 0 404 + 49k = 12 + 0 404 + 49k = 12 Add '-404' to each side of the equation. 404 + -404 + 49k = 12 + -404 Combine like terms: 404 + -404 = 0 0 + 49k = 12 + -404 49k = 12 + -404 Combine like terms: 12 + -404 = -392 49k = -392 Divide each side by '49'. k = -8 Simplifying k = -8
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