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Simplifying -4 + j + 1 = 7 + -1j Reorder the terms: -4 + 1 + j = 7 + -1j Combine like terms: -4 + 1 = -3 -3 + j = 7 + -1j Solving -3 + j = 7 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. -3 + j + j = 7 + -1j + j Combine like terms: j + j = 2j -3 + 2j = 7 + -1j + j Combine like terms: -1j + j = 0 -3 + 2j = 7 + 0 -3 + 2j = 7 Add '3' to each side of the equation. -3 + 3 + 2j = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2j = 7 + 3 2j = 7 + 3 Combine like terms: 7 + 3 = 10 2j = 10 Divide each side by '2'. j = 5 Simplifying j = 5
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