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Simplifying 38 + 7k = 8(k + 1) Reorder the terms: 38 + 7k = 8(1 + k) 38 + 7k = (1 * 8 + k * 8) 38 + 7k = (8 + 8k) Solving 38 + 7k = 8 + 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. 38 + 7k + -8k = 8 + 8k + -8k Combine like terms: 7k + -8k = -1k 38 + -1k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 38 + -1k = 8 + 0 38 + -1k = 8 Add '-38' to each side of the equation. 38 + -38 + -1k = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -1k = 8 + -38 -1k = 8 + -38 Combine like terms: 8 + -38 = -30 -1k = -30 Divide each side by '-1'. k = 30 Simplifying k = 30
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