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Simplifying 0.42 = 0.17 + 0.5j Solving 0.42 = 0.17 + 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. 0.42 + -0.5j = 0.17 + 0.5j + -0.5j Combine like terms: 0.5j + -0.5j = 0.0 0.42 + -0.5j = 0.17 + 0.0 0.42 + -0.5j = 0.17 Add '-0.42' to each side of the equation. 0.42 + -0.42 + -0.5j = 0.17 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -0.5j = 0.17 + -0.42 -0.5j = 0.17 + -0.42 Combine like terms: 0.17 + -0.42 = -0.25 -0.5j = -0.25 Divide each side by '-0.5'. j = 0.5 Simplifying j = 0.5
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