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Simplifying -2.7 + 8.4j + -1.85 = 10.96 + 3.6j Reorder the terms: -2.7 + -1.85 + 8.4j = 10.96 + 3.6j Combine like terms: -2.7 + -1.85 = -4.55 -4.55 + 8.4j = 10.96 + 3.6j Solving -4.55 + 8.4j = 10.96 + 3.6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3.6j' to each side of the equation. -4.55 + 8.4j + -3.6j = 10.96 + 3.6j + -3.6j Combine like terms: 8.4j + -3.6j = 4.8j -4.55 + 4.8j = 10.96 + 3.6j + -3.6j Combine like terms: 3.6j + -3.6j = 0.0 -4.55 + 4.8j = 10.96 + 0.0 -4.55 + 4.8j = 10.96 Add '4.55' to each side of the equation. -4.55 + 4.55 + 4.8j = 10.96 + 4.55 Combine like terms: -4.55 + 4.55 = 0.00 0.00 + 4.8j = 10.96 + 4.55 4.8j = 10.96 + 4.55 Combine like terms: 10.96 + 4.55 = 15.51 4.8j = 15.51 Divide each side by '4.8'. j = 3.23125 Simplifying j = 3.23125
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