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Simplifying 38 + 7k = 8(k + 32) Reorder the terms: 38 + 7k = 8(32 + k) 38 + 7k = (32 * 8 + k * 8) 38 + 7k = (256 + 8k) Solving 38 + 7k = 256 + 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 = 256 + 8k + -8k Combine like terms: 7k + -8k = -1k 38 + -1k = 256 + 8k + -8k Combine like terms: 8k + -8k = 0 38 + -1k = 256 + 0 38 + -1k = 256 Add '-38' to each side of the equation. 38 + -38 + -1k = 256 + -38 Combine like terms: 38 + -38 = 0 0 + -1k = 256 + -38 -1k = 256 + -38 Combine like terms: 256 + -38 = 218 -1k = 218 Divide each side by '-1'. k = -218 Simplifying k = -218
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