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Simplifying 12j + 15 = -20 + 5j Reorder the terms: 15 + 12j = -20 + 5j Solving 15 + 12j = -20 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 15 + 12j + -5j = -20 + 5j + -5j Combine like terms: 12j + -5j = 7j 15 + 7j = -20 + 5j + -5j Combine like terms: 5j + -5j = 0 15 + 7j = -20 + 0 15 + 7j = -20 Add '-15' to each side of the equation. 15 + -15 + 7j = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 7j = -20 + -15 7j = -20 + -15 Combine like terms: -20 + -15 = -35 7j = -35 Divide each side by '7'. j = -5 Simplifying j = -5
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