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Simplifying 3(4j + 5) = 2(-10 + 5j) Reorder the terms: 3(5 + 4j) = 2(-10 + 5j) (5 * 3 + 4j * 3) = 2(-10 + 5j) (15 + 12j) = 2(-10 + 5j) 15 + 12j = (-10 * 2 + 5j * 2) 15 + 12j = (-20 + 10j) Solving 15 + 12j = -20 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 15 + 12j + -10j = -20 + 10j + -10j Combine like terms: 12j + -10j = 2j 15 + 2j = -20 + 10j + -10j Combine like terms: 10j + -10j = 0 15 + 2j = -20 + 0 15 + 2j = -20 Add '-15' to each side of the equation. 15 + -15 + 2j = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 2j = -20 + -15 2j = -20 + -15 Combine like terms: -20 + -15 = -35 2j = -35 Divide each side by '2'. j = -17.5 Simplifying j = -17.5
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