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Simplifying 350 = 7(1 + 7k) 350 = (1 * 7 + 7k * 7) 350 = (7 + 49k) Solving 350 = 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. 350 + -49k = 7 + 49k + -49k Combine like terms: 49k + -49k = 0 350 + -49k = 7 + 0 350 + -49k = 7 Add '-350' to each side of the equation. 350 + -350 + -49k = 7 + -350 Combine like terms: 350 + -350 = 0 0 + -49k = 7 + -350 -49k = 7 + -350 Combine like terms: 7 + -350 = -343 -49k = -343 Divide each side by '-49'. k = 7 Simplifying k = 7
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