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Simplifying 19j + 9(12j + 13) = -1 + 9j Reorder the terms: 19j + 9(13 + 12j) = -1 + 9j 19j + (13 * 9 + 12j * 9) = -1 + 9j 19j + (117 + 108j) = -1 + 9j Reorder the terms: 117 + 19j + 108j = -1 + 9j Combine like terms: 19j + 108j = 127j 117 + 127j = -1 + 9j Solving 117 + 127j = -1 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 117 + 127j + -9j = -1 + 9j + -9j Combine like terms: 127j + -9j = 118j 117 + 118j = -1 + 9j + -9j Combine like terms: 9j + -9j = 0 117 + 118j = -1 + 0 117 + 118j = -1 Add '-117' to each side of the equation. 117 + -117 + 118j = -1 + -117 Combine like terms: 117 + -117 = 0 0 + 118j = -1 + -117 118j = -1 + -117 Combine like terms: -1 + -117 = -118 118j = -118 Divide each side by '118'. j = -1 Simplifying j = -1
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