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Simplifying 37 + 7k = 8(k + 4) Reorder the terms: 37 + 7k = 8(4 + k) 37 + 7k = (4 * 8 + k * 8) 37 + 7k = (32 + 8k) Solving 37 + 7k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 37 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k 37 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 37 + -1k = 32 + 0 37 + -1k = 32 Add '-37' to each side of the equation. 37 + -37 + -1k = 32 + -37 Combine like terms: 37 + -37 = 0 0 + -1k = 32 + -37 -1k = 32 + -37 Combine like terms: 32 + -37 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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