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Simplifying 0.2j + -0.04 + 0.5j = 0.31 Reorder the terms: -0.04 + 0.2j + 0.5j = 0.31 Combine like terms: 0.2j + 0.5j = 0.7j -0.04 + 0.7j = 0.31 Solving -0.04 + 0.7j = 0.31 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.7j = 0.31 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.7j = 0.31 + 0.04 0.7j = 0.31 + 0.04 Combine like terms: 0.31 + 0.04 = 0.35 0.7j = 0.35 Divide each side by '0.7'. j = 0.5 Simplifying j = 0.5
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