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Simplifying 3(1 + -3j) = 2(-4j + 7) (1 * 3 + -3j * 3) = 2(-4j + 7) (3 + -9j) = 2(-4j + 7) Reorder the terms: 3 + -9j = 2(7 + -4j) 3 + -9j = (7 * 2 + -4j * 2) 3 + -9j = (14 + -8j) Solving 3 + -9j = 14 + -8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8j' to each side of the equation. 3 + -9j + 8j = 14 + -8j + 8j Combine like terms: -9j + 8j = -1j 3 + -1j = 14 + -8j + 8j Combine like terms: -8j + 8j = 0 3 + -1j = 14 + 0 3 + -1j = 14 Add '-3' to each side of the equation. 3 + -3 + -1j = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1j = 14 + -3 -1j = 14 + -3 Combine like terms: 14 + -3 = 11 -1j = 11 Divide each side by '-1'. j = -11 Simplifying j = -11
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