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Simplifying 0.675j = 8 + 0.375j Solving 0.675j = 8 + 0.375j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.375j' to each side of the equation. 0.675j + -0.375j = 8 + 0.375j + -0.375j Combine like terms: 0.675j + -0.375j = 0.3j 0.3j = 8 + 0.375j + -0.375j Combine like terms: 0.375j + -0.375j = 0.000 0.3j = 8 + 0.000 0.3j = 8 Divide each side by '0.3'. j = 26.66666667 Simplifying j = 26.66666667
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