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Simplifying 38 + 7k = 8(j + 4) Reorder the terms: 38 + 7k = 8(4 + j) 38 + 7k = (4 * 8 + j * 8) 38 + 7k = (32 + 8j) Solving 38 + 7k = 32 + 8j Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7k = 32 + -38 + 8j Combine like terms: 38 + -38 = 0 0 + 7k = 32 + -38 + 8j 7k = 32 + -38 + 8j Combine like terms: 32 + -38 = -6 7k = -6 + 8j Divide each side by '7'. k = -0.8571428571 + 1.142857143j Simplifying k = -0.8571428571 + 1.142857143j
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