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Simplifying (4j + 3) + -1(5j + -6) = 0 Reorder the terms: (3 + 4j) + -1(5j + -6) = 0 Remove parenthesis around (3 + 4j) 3 + 4j + -1(5j + -6) = 0 Reorder the terms: 3 + 4j + -1(-6 + 5j) = 0 3 + 4j + (-6 * -1 + 5j * -1) = 0 3 + 4j + (6 + -5j) = 0 Reorder the terms: 3 + 6 + 4j + -5j = 0 Combine like terms: 3 + 6 = 9 9 + 4j + -5j = 0 Combine like terms: 4j + -5j = -1j 9 + -1j = 0 Solving 9 + -1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1j = 0 + -9 -1j = 0 + -9 Combine like terms: 0 + -9 = -9 -1j = -9 Divide each side by '-1'. j = 9 Simplifying j = 9
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