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Simplifying 39.6j + 5.94 = 3j + 7 Reorder the terms: 5.94 + 39.6j = 3j + 7 Reorder the terms: 5.94 + 39.6j = 7 + 3j Solving 5.94 + 39.6j = 7 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 5.94 + 39.6j + -3j = 7 + 3j + -3j Combine like terms: 39.6j + -3j = 36.6j 5.94 + 36.6j = 7 + 3j + -3j Combine like terms: 3j + -3j = 0 5.94 + 36.6j = 7 + 0 5.94 + 36.6j = 7 Add '-5.94' to each side of the equation. 5.94 + -5.94 + 36.6j = 7 + -5.94 Combine like terms: 5.94 + -5.94 = 0.00 0.00 + 36.6j = 7 + -5.94 36.6j = 7 + -5.94 Combine like terms: 7 + -5.94 = 1.06 36.6j = 1.06 Divide each side by '36.6'. j = 0.02896174863 Simplifying j = 0.02896174863
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