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Simplifying 15 = 2(6 + -1j + 4) + 4j Reorder the terms: 15 = 2(6 + 4 + -1j) + 4j Combine like terms: 6 + 4 = 10 15 = 2(10 + -1j) + 4j 15 = (10 * 2 + -1j * 2) + 4j 15 = (20 + -2j) + 4j Combine like terms: -2j + 4j = 2j 15 = 20 + 2j Solving 15 = 20 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 15 + -2j = 20 + 2j + -2j Combine like terms: 2j + -2j = 0 15 + -2j = 20 + 0 15 + -2j = 20 Add '-15' to each side of the equation. 15 + -15 + -2j = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -2j = 20 + -15 -2j = 20 + -15 Combine like terms: 20 + -15 = 5 -2j = 5 Divide each side by '-2'. j = -2.5 Simplifying j = -2.5
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