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Simplifying -6j + 18 + 8 = -15j + -19 Reorder the terms: 18 + 8 + -6j = -15j + -19 Combine like terms: 18 + 8 = 26 26 + -6j = -15j + -19 Reorder the terms: 26 + -6j = -19 + -15j Solving 26 + -6j = -19 + -15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '15j' to each side of the equation. 26 + -6j + 15j = -19 + -15j + 15j Combine like terms: -6j + 15j = 9j 26 + 9j = -19 + -15j + 15j Combine like terms: -15j + 15j = 0 26 + 9j = -19 + 0 26 + 9j = -19 Add '-26' to each side of the equation. 26 + -26 + 9j = -19 + -26 Combine like terms: 26 + -26 = 0 0 + 9j = -19 + -26 9j = -19 + -26 Combine like terms: -19 + -26 = -45 9j = -45 Divide each side by '9'. j = -5 Simplifying j = -5
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