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Simplifying 19j + 3 = -20 + -13 + 15j Reorder the terms: 3 + 19j = -20 + -13 + 15j Combine like terms: -20 + -13 = -33 3 + 19j = -33 + 15j Solving 3 + 19j = -33 + 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. 3 + 19j + -15j = -33 + 15j + -15j Combine like terms: 19j + -15j = 4j 3 + 4j = -33 + 15j + -15j Combine like terms: 15j + -15j = 0 3 + 4j = -33 + 0 3 + 4j = -33 Add '-3' to each side of the equation. 3 + -3 + 4j = -33 + -3 Combine like terms: 3 + -3 = 0 0 + 4j = -33 + -3 4j = -33 + -3 Combine like terms: -33 + -3 = -36 4j = -36 Divide each side by '4'. j = -9 Simplifying j = -9
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