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Simplifying 1 + 2j = 2(2j + 1) Reorder the terms: 1 + 2j = 2(1 + 2j) 1 + 2j = (1 * 2 + 2j * 2) 1 + 2j = (2 + 4j) Solving 1 + 2j = 2 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 1 + 2j + -4j = 2 + 4j + -4j Combine like terms: 2j + -4j = -2j 1 + -2j = 2 + 4j + -4j Combine like terms: 4j + -4j = 0 1 + -2j = 2 + 0 1 + -2j = 2 Add '-1' to each side of the equation. 1 + -1 + -2j = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -2j = 2 + -1 -2j = 2 + -1 Combine like terms: 2 + -1 = 1 -2j = 1 Divide each side by '-2'. j = -0.5 Simplifying j = -0.5
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