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Simplifying (4j + -3) + -1(2j + 5) = 0 Reorder the terms: (-3 + 4j) + -1(2j + 5) = 0 Remove parenthesis around (-3 + 4j) -3 + 4j + -1(2j + 5) = 0 Reorder the terms: -3 + 4j + -1(5 + 2j) = 0 -3 + 4j + (5 * -1 + 2j * -1) = 0 -3 + 4j + (-5 + -2j) = 0 Reorder the terms: -3 + -5 + 4j + -2j = 0 Combine like terms: -3 + -5 = -8 -8 + 4j + -2j = 0 Combine like terms: 4j + -2j = 2j -8 + 2j = 0 Solving -8 + 2j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2j = 0 + 8 2j = 0 + 8 Combine like terms: 0 + 8 = 8 2j = 8 Divide each side by '2'. j = 4 Simplifying j = 4
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