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Simplifying -1.65 + -1.4j = -0.5j + 15.99 Reorder the terms: -1.65 + -1.4j = 15.99 + -0.5j Solving -1.65 + -1.4j = 15.99 + -0.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.5j' to each side of the equation. -1.65 + -1.4j + 0.5j = 15.99 + -0.5j + 0.5j Combine like terms: -1.4j + 0.5j = -0.9j -1.65 + -0.9j = 15.99 + -0.5j + 0.5j Combine like terms: -0.5j + 0.5j = 0.0 -1.65 + -0.9j = 15.99 + 0.0 -1.65 + -0.9j = 15.99 Add '1.65' to each side of the equation. -1.65 + 1.65 + -0.9j = 15.99 + 1.65 Combine like terms: -1.65 + 1.65 = 0.00 0.00 + -0.9j = 15.99 + 1.65 -0.9j = 15.99 + 1.65 Combine like terms: 15.99 + 1.65 = 17.64 -0.9j = 17.64 Divide each side by '-0.9'. j = -19.6 Simplifying j = -19.6
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