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Simplifying 3(4j + 5) = 2(-10 + 5) Reorder the terms: 3(5 + 4j) = 2(-10 + 5) (5 * 3 + 4j * 3) = 2(-10 + 5) (15 + 12j) = 2(-10 + 5) Combine like terms: -10 + 5 = -5 15 + 12j = 2(-5) Multiply 2 * -5 15 + 12j = -10 Solving 15 + 12j = -10 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 12j = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 12j = -10 + -15 12j = -10 + -15 Combine like terms: -10 + -15 = -25 12j = -25 Divide each side by '12'. j = -2.083333333 Simplifying j = -2.083333333
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