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Simplifying -13.5j + -18.6 = -9.8j + 16.14 + -1.9j Reorder the terms: -18.6 + -13.5j = -9.8j + 16.14 + -1.9j Reorder the terms: -18.6 + -13.5j = 16.14 + -9.8j + -1.9j Combine like terms: -9.8j + -1.9j = -11.7j -18.6 + -13.5j = 16.14 + -11.7j Solving -18.6 + -13.5j = 16.14 + -11.7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11.7j' to each side of the equation. -18.6 + -13.5j + 11.7j = 16.14 + -11.7j + 11.7j Combine like terms: -13.5j + 11.7j = -1.8j -18.6 + -1.8j = 16.14 + -11.7j + 11.7j Combine like terms: -11.7j + 11.7j = 0.0 -18.6 + -1.8j = 16.14 + 0.0 -18.6 + -1.8j = 16.14 Add '18.6' to each side of the equation. -18.6 + 18.6 + -1.8j = 16.14 + 18.6 Combine like terms: -18.6 + 18.6 = 0.0 0.0 + -1.8j = 16.14 + 18.6 -1.8j = 16.14 + 18.6 Combine like terms: 16.14 + 18.6 = 34.74 -1.8j = 34.74 Divide each side by '-1.8'. j = -19.3 Simplifying j = -19.3
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