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Simplifying -4.5j + 0.48 = 10.16 + -5.3j Reorder the terms: 0.48 + -4.5j = 10.16 + -5.3j Solving 0.48 + -4.5j = 10.16 + -5.3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5.3j' to each side of the equation. 0.48 + -4.5j + 5.3j = 10.16 + -5.3j + 5.3j Combine like terms: -4.5j + 5.3j = 0.8j 0.48 + 0.8j = 10.16 + -5.3j + 5.3j Combine like terms: -5.3j + 5.3j = 0.0 0.48 + 0.8j = 10.16 + 0.0 0.48 + 0.8j = 10.16 Add '-0.48' to each side of the equation. 0.48 + -0.48 + 0.8j = 10.16 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.8j = 10.16 + -0.48 0.8j = 10.16 + -0.48 Combine like terms: 10.16 + -0.48 = 9.68 0.8j = 9.68 Divide each side by '0.8'. j = 12.1 Simplifying j = 12.1
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