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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 = 10 10 + -6j = 4(1 + j) 10 + -6j = (1 * 4 + j * 4) 10 + -6j = (4 + 4j) Solving 10 + -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. 10 + -6j + -4j = 4 + 4j + -4j Combine like terms: -6j + -4j = -10j 10 + -10j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 10 + -10j = 4 + 0 10 + -10j = 4 Add '-10' to each side of the equation. 10 + -10 + -10j = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -10j = 4 + -10 -10j = 4 + -10 Combine like terms: 4 + -10 = -6 -10j = -6 Divide each side by '-10'. j = 0.6 Simplifying j = 0.6
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