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Simplifying 38 + 7k = (k + 4) Reorder the terms: 38 + 7k = (4 + k) Remove parenthesis around (4 + k) 38 + 7k = 4 + k Solving 38 + 7k = 4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 38 + 7k + -1k = 4 + k + -1k Combine like terms: 7k + -1k = 6k 38 + 6k = 4 + k + -1k Combine like terms: k + -1k = 0 38 + 6k = 4 + 0 38 + 6k = 4 Add '-38' to each side of the equation. 38 + -38 + 6k = 4 + -38 Combine like terms: 38 + -38 = 0 0 + 6k = 4 + -38 6k = 4 + -38 Combine like terms: 4 + -38 = -34 6k = -34 Divide each side by '6'. k = -5.666666667 Simplifying k = -5.666666667
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