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Simplifying 19 + -12j = -9j + -20 Reorder the terms: 19 + -12j = -20 + -9j Solving 19 + -12j = -20 + -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. 19 + -12j + 9j = -20 + -9j + 9j Combine like terms: -12j + 9j = -3j 19 + -3j = -20 + -9j + 9j Combine like terms: -9j + 9j = 0 19 + -3j = -20 + 0 19 + -3j = -20 Add '-19' to each side of the equation. 19 + -19 + -3j = -20 + -19 Combine like terms: 19 + -19 = 0 0 + -3j = -20 + -19 -3j = -20 + -19 Combine like terms: -20 + -19 = -39 -3j = -39 Divide each side by '-3'. j = 13 Simplifying j = 13
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