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Simplifying 2(1 + -2j) = 4j + 18 (1 * 2 + -2j * 2) = 4j + 18 (2 + -4j) = 4j + 18 Reorder the terms: 2 + -4j = 18 + 4j Solving 2 + -4j = 18 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 2 + -4j + -4j = 18 + 4j + -4j Combine like terms: -4j + -4j = -8j 2 + -8j = 18 + 4j + -4j Combine like terms: 4j + -4j = 0 2 + -8j = 18 + 0 2 + -8j = 18 Add '-2' to each side of the equation. 2 + -2 + -8j = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -8j = 18 + -2 -8j = 18 + -2 Combine like terms: 18 + -2 = 16 -8j = 16 Divide each side by '-8'. j = -2 Simplifying j = -2
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