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Simplifying -5(-12j + 16) = 1 + 15j + 9 Reorder the terms: -5(16 + -12j) = 1 + 15j + 9 (16 * -5 + -12j * -5) = 1 + 15j + 9 (-80 + 60j) = 1 + 15j + 9 Reorder the terms: -80 + 60j = 1 + 9 + 15j Combine like terms: 1 + 9 = 10 -80 + 60j = 10 + 15j Solving -80 + 60j = 10 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. -80 + 60j + -15j = 10 + 15j + -15j Combine like terms: 60j + -15j = 45j -80 + 45j = 10 + 15j + -15j Combine like terms: 15j + -15j = 0 -80 + 45j = 10 + 0 -80 + 45j = 10 Add '80' to each side of the equation. -80 + 80 + 45j = 10 + 80 Combine like terms: -80 + 80 = 0 0 + 45j = 10 + 80 45j = 10 + 80 Combine like terms: 10 + 80 = 90 45j = 90 Divide each side by '45'. j = 2 Simplifying j = 2
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