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Simplifying 37 + 3k = 7(k + 7) + -7k Reorder the terms: 37 + 3k = 7(7 + k) + -7k 37 + 3k = (7 * 7 + k * 7) + -7k 37 + 3k = (49 + 7k) + -7k Combine like terms: 7k + -7k = 0 37 + 3k = 49 + 0 37 + 3k = 49 Solving 37 + 3k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 3k = 49 + -37 Combine like terms: 37 + -37 = 0 0 + 3k = 49 + -37 3k = 49 + -37 Combine like terms: 49 + -37 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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