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