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Simplifying 6 + 2(3j + -2) = 4(1 + j) Reorder the terms: 6 + 2(-2 + 3j) = 4(1 + j) 6 + (-2 * 2 + 3j * 2) = 4(1 + j) 6 + (-4 + 6j) = 4(1 + j) Combine like terms: 6 + -4 = 2 2 + 6j = 4(1 + j) 2 + 6j = (1 * 4 + j * 4) 2 + 6j = (4 + 4j) Solving 2 + 6j = 4 + 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. 2 + 6j + -4j = 4 + 4j + -4j Combine like terms: 6j + -4j = 2j 2 + 2j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 2 + 2j = 4 + 0 2 + 2j = 4 Add '-2' to each side of the equation. 2 + -2 + 2j = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2j = 4 + -2 2j = 4 + -2 Combine like terms: 4 + -2 = 2 2j = 2 Divide each side by '2'. j = 1 Simplifying j = 1

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