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Simplifying 9j + 3 = 3(4j + 11) Reorder the terms: 3 + 9j = 3(4j + 11) Reorder the terms: 3 + 9j = 3(11 + 4j) 3 + 9j = (11 * 3 + 4j * 3) 3 + 9j = (33 + 12j) Solving 3 + 9j = 33 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. 3 + 9j + -12j = 33 + 12j + -12j Combine like terms: 9j + -12j = -3j 3 + -3j = 33 + 12j + -12j Combine like terms: 12j + -12j = 0 3 + -3j = 33 + 0 3 + -3j = 33 Add '-3' to each side of the equation. 3 + -3 + -3j = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -3j = 33 + -3 -3j = 33 + -3 Combine like terms: 33 + -3 = 30 -3j = 30 Divide each side by '-3'. j = -10 Simplifying j = -10
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