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Simplifying 8 = 2(4j + 1) + -5j Reorder the terms: 8 = 2(1 + 4j) + -5j 8 = (1 * 2 + 4j * 2) + -5j 8 = (2 + 8j) + -5j Combine like terms: 8j + -5j = 3j 8 = 2 + 3j Solving 8 = 2 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 8 + -3j = 2 + 3j + -3j Combine like terms: 3j + -3j = 0 8 + -3j = 2 + 0 8 + -3j = 2 Add '-8' to each side of the equation. 8 + -8 + -3j = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3j = 2 + -8 -3j = 2 + -8 Combine like terms: 2 + -8 = -6 -3j = -6 Divide each side by '-3'. j = 2 Simplifying j = 2
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