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Simplifying 19 + -12j + 20j = 6j + -9 Combine like terms: -12j + 20j = 8j 19 + 8j = 6j + -9 Reorder the terms: 19 + 8j = -9 + 6j Solving 19 + 8j = -9 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 19 + 8j + -6j = -9 + 6j + -6j Combine like terms: 8j + -6j = 2j 19 + 2j = -9 + 6j + -6j Combine like terms: 6j + -6j = 0 19 + 2j = -9 + 0 19 + 2j = -9 Add '-19' to each side of the equation. 19 + -19 + 2j = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 2j = -9 + -19 2j = -9 + -19 Combine like terms: -9 + -19 = -28 2j = -28 Divide each side by '2'. j = -14 Simplifying j = -14
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