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Simplifying 2(2 + -1j) = 4(j + 10) (2 * 2 + -1j * 2) = 4(j + 10) (4 + -2j) = 4(j + 10) Reorder the terms: 4 + -2j = 4(10 + j) 4 + -2j = (10 * 4 + j * 4) 4 + -2j = (40 + 4j) Solving 4 + -2j = 40 + 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. 4 + -2j + -4j = 40 + 4j + -4j Combine like terms: -2j + -4j = -6j 4 + -6j = 40 + 4j + -4j Combine like terms: 4j + -4j = 0 4 + -6j = 40 + 0 4 + -6j = 40 Add '-4' to each side of the equation. 4 + -4 + -6j = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -6j = 40 + -4 -6j = 40 + -4 Combine like terms: 40 + -4 = 36 -6j = 36 Divide each side by '-6'. j = -6 Simplifying j = -6
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