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Simplifying 38 + 7k = 4 + 4(k + 4) Reorder the terms: 38 + 7k = 4 + 4(4 + k) 38 + 7k = 4 + (4 * 4 + k * 4) 38 + 7k = 4 + (16 + 4k) Combine like terms: 4 + 16 = 20 38 + 7k = 20 + 4k Solving 38 + 7k = 20 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 38 + 7k + -4k = 20 + 4k + -4k Combine like terms: 7k + -4k = 3k 38 + 3k = 20 + 4k + -4k Combine like terms: 4k + -4k = 0 38 + 3k = 20 + 0 38 + 3k = 20 Add '-38' to each side of the equation. 38 + -38 + 3k = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 3k = 20 + -38 3k = 20 + -38 Combine like terms: 20 + -38 = -18 3k = -18 Divide each side by '3'. k = -6 Simplifying k = -6
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