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Simplifying 301 = -7(-7k + -1) Reorder the terms: 301 = -7(-1 + -7k) 301 = (-1 * -7 + -7k * -7) 301 = (7 + 49k) Solving 301 = 7 + 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. 301 + -49k = 7 + 49k + -49k Combine like terms: 49k + -49k = 0 301 + -49k = 7 + 0 301 + -49k = 7 Add '-301' to each side of the equation. 301 + -301 + -49k = 7 + -301 Combine like terms: 301 + -301 = 0 0 + -49k = 7 + -301 -49k = 7 + -301 Combine like terms: 7 + -301 = -294 -49k = -294 Divide each side by '-49'. k = 6 Simplifying k = 6
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