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Simplifying 45 = 11 + -2j + 50 Reorder the terms: 45 = 11 + 50 + -2j Combine like terms: 11 + 50 = 61 45 = 61 + -2j Solving 45 = 61 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 45 + 2j = 61 + -2j + 2j Combine like terms: -2j + 2j = 0 45 + 2j = 61 + 0 45 + 2j = 61 Add '-45' to each side of the equation. 45 + -45 + 2j = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2j = 61 + -45 2j = 61 + -45 Combine like terms: 61 + -45 = 16 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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