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Simplifying 205 = 5(6j + 5) Reorder the terms: 205 = 5(5 + 6j) 205 = (5 * 5 + 6j * 5) 205 = (25 + 30j) Solving 205 = 25 + 30j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-30j' to each side of the equation. 205 + -30j = 25 + 30j + -30j Combine like terms: 30j + -30j = 0 205 + -30j = 25 + 0 205 + -30j = 25 Add '-205' to each side of the equation. 205 + -205 + -30j = 25 + -205 Combine like terms: 205 + -205 = 0 0 + -30j = 25 + -205 -30j = 25 + -205 Combine like terms: 25 + -205 = -180 -30j = -180 Divide each side by '-30'. j = 6 Simplifying j = 6
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