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Simplifying 3(3j + 15) = -3(11 + -5j) Reorder the terms: 3(15 + 3j) = -3(11 + -5j) (15 * 3 + 3j * 3) = -3(11 + -5j) (45 + 9j) = -3(11 + -5j) 45 + 9j = (11 * -3 + -5j * -3) 45 + 9j = (-33 + 15j) Solving 45 + 9j = -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. 45 + 9j + -15j = -33 + 15j + -15j Combine like terms: 9j + -15j = -6j 45 + -6j = -33 + 15j + -15j Combine like terms: 15j + -15j = 0 45 + -6j = -33 + 0 45 + -6j = -33 Add '-45' to each side of the equation. 45 + -45 + -6j = -33 + -45 Combine like terms: 45 + -45 = 0 0 + -6j = -33 + -45 -6j = -33 + -45 Combine like terms: -33 + -45 = -78 -6j = -78 Divide each side by '-6'. j = 13 Simplifying j = 13
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