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Simplifying 3(8 + 13j) = -3(-12j + -3) (8 * 3 + 13j * 3) = -3(-12j + -3) (24 + 39j) = -3(-12j + -3) Reorder the terms: 24 + 39j = -3(-3 + -12j) 24 + 39j = (-3 * -3 + -12j * -3) 24 + 39j = (9 + 36j) Solving 24 + 39j = 9 + 36j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36j' to each side of the equation. 24 + 39j + -36j = 9 + 36j + -36j Combine like terms: 39j + -36j = 3j 24 + 3j = 9 + 36j + -36j Combine like terms: 36j + -36j = 0 24 + 3j = 9 + 0 24 + 3j = 9 Add '-24' to each side of the equation. 24 + -24 + 3j = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 3j = 9 + -24 3j = 9 + -24 Combine like terms: 9 + -24 = -15 3j = -15 Divide each side by '3'. j = -5 Simplifying j = -5
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