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Simplifying 4j + -9j + 3 = -27 Reorder the terms: 3 + 4j + -9j = -27 Combine like terms: 4j + -9j = -5j 3 + -5j = -27 Solving 3 + -5j = -27 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5j = -27 + -3 Combine like terms: 3 + -3 = 0 0 + -5j = -27 + -3 -5j = -27 + -3 Combine like terms: -27 + -3 = -30 -5j = -30 Divide each side by '-5'. j = 6 Simplifying j = 6
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