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Simplifying 2(4j + 3) + 6 = 22(1 + -1j) Reorder the terms: 2(3 + 4j) + 6 = 22(1 + -1j) (3 * 2 + 4j * 2) + 6 = 22(1 + -1j) (6 + 8j) + 6 = 22(1 + -1j) Reorder the terms: 6 + 6 + 8j = 22(1 + -1j) Combine like terms: 6 + 6 = 12 12 + 8j = 22(1 + -1j) 12 + 8j = (1 * 22 + -1j * 22) 12 + 8j = (22 + -22j) Solving 12 + 8j = 22 + -22j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '22j' to each side of the equation. 12 + 8j + 22j = 22 + -22j + 22j Combine like terms: 8j + 22j = 30j 12 + 30j = 22 + -22j + 22j Combine like terms: -22j + 22j = 0 12 + 30j = 22 + 0 12 + 30j = 22 Add '-12' to each side of the equation. 12 + -12 + 30j = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 30j = 22 + -12 30j = 22 + -12 Combine like terms: 22 + -12 = 10 30j = 10 Divide each side by '30'. j = 0.3333333333 Simplifying j = 0.3333333333
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