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Simplifying 1 + j = 2(2j + 1) Reorder the terms: 1 + j = 2(1 + 2j) 1 + j = (1 * 2 + 2j * 2) 1 + j = (2 + 4j) Solving 1 + j = 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 + j + -4j = 2 + 4j + -4j Combine like terms: j + -4j = -3j 1 + -3j = 2 + 4j + -4j Combine like terms: 4j + -4j = 0 1 + -3j = 2 + 0 1 + -3j = 2 Add '-1' to each side of the equation. 1 + -1 + -3j = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -3j = 2 + -1 -3j = 2 + -1 Combine like terms: 2 + -1 = 1 -3j = 1 Divide each side by '-3'. j = -0.3333333333 Simplifying j = -0.3333333333
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