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Simplifying -17 + 12j + 20 = 11 + 20j Reorder the terms: -17 + 20 + 12j = 11 + 20j Combine like terms: -17 + 20 = 3 3 + 12j = 11 + 20j Solving 3 + 12j = 11 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. 3 + 12j + -20j = 11 + 20j + -20j Combine like terms: 12j + -20j = -8j 3 + -8j = 11 + 20j + -20j Combine like terms: 20j + -20j = 0 3 + -8j = 11 + 0 3 + -8j = 11 Add '-3' to each side of the equation. 3 + -3 + -8j = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -8j = 11 + -3 -8j = 11 + -3 Combine like terms: 11 + -3 = 8 -8j = 8 Divide each side by '-8'. j = -1 Simplifying j = -1
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