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Simplifying 5(2 + -1j) + (2j + -3) = 0 (2 * 5 + -1j * 5) + (2j + -3) = 0 (10 + -5j) + (2j + -3) = 0 Reorder the terms: 10 + -5j + (-3 + 2j) = 0 Remove parenthesis around (-3 + 2j) 10 + -5j + -3 + 2j = 0 Reorder the terms: 10 + -3 + -5j + 2j = 0 Combine like terms: 10 + -3 = 7 7 + -5j + 2j = 0 Combine like terms: -5j + 2j = -3j 7 + -3j = 0 Solving 7 + -3j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3j = 0 + -7 -3j = 0 + -7 Combine like terms: 0 + -7 = -7 -3j = -7 Divide each side by '-3'. j = 2.333333333 Simplifying j = 2.333333333
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