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Simplifying (4 + -1j) + -7 = 42 Remove parenthesis around (4 + -1j) 4 + -1j + -7 = 42 Reorder the terms: 4 + -7 + -1j = 42 Combine like terms: 4 + -7 = -3 -3 + -1j = 42 Solving -3 + -1j = 42 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1j = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -1j = 42 + 3 -1j = 42 + 3 Combine like terms: 42 + 3 = 45 -1j = 45 Divide each side by '-1'. j = -45 Simplifying j = -45
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