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Simplifying 11 = 2(3j + -2) + -1(5 + -4j) Reorder the terms: 11 = 2(-2 + 3j) + -1(5 + -4j) 11 = (-2 * 2 + 3j * 2) + -1(5 + -4j) 11 = (-4 + 6j) + -1(5 + -4j) 11 = -4 + 6j + (5 * -1 + -4j * -1) 11 = -4 + 6j + (-5 + 4j) Reorder the terms: 11 = -4 + -5 + 6j + 4j Combine like terms: -4 + -5 = -9 11 = -9 + 6j + 4j Combine like terms: 6j + 4j = 10j 11 = -9 + 10j Solving 11 = -9 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 11 + -10j = -9 + 10j + -10j Combine like terms: 10j + -10j = 0 11 + -10j = -9 + 0 11 + -10j = -9 Add '-11' to each side of the equation. 11 + -11 + -10j = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -10j = -9 + -11 -10j = -9 + -11 Combine like terms: -9 + -11 = -20 -10j = -20 Divide each side by '-10'. j = 2 Simplifying j = 2
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