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Simplifying 49 = 7(k + 2) Reorder the terms: 49 = 7(2 + k) 49 = (2 * 7 + k * 7) 49 = (14 + 7k) Solving 49 = 14 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 49 + -7k = 14 + 7k + -7k Combine like terms: 7k + -7k = 0 49 + -7k = 14 + 0 49 + -7k = 14 Add '-49' to each side of the equation. 49 + -49 + -7k = 14 + -49 Combine like terms: 49 + -49 = 0 0 + -7k = 14 + -49 -7k = 14 + -49 Combine like terms: 14 + -49 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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