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Simplifying 8j + 4 + -3j = -4 + -1j + 2 Reorder the terms: 4 + 8j + -3j = -4 + -1j + 2 Combine like terms: 8j + -3j = 5j 4 + 5j = -4 + -1j + 2 Reorder the terms: 4 + 5j = -4 + 2 + -1j Combine like terms: -4 + 2 = -2 4 + 5j = -2 + -1j Solving 4 + 5j = -2 + -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. 4 + 5j + j = -2 + -1j + j Combine like terms: 5j + j = 6j 4 + 6j = -2 + -1j + j Combine like terms: -1j + j = 0 4 + 6j = -2 + 0 4 + 6j = -2 Add '-4' to each side of the equation. 4 + -4 + 6j = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 6j = -2 + -4 6j = -2 + -4 Combine like terms: -2 + -4 = -6 6j = -6 Divide each side by '6'. j = -1 Simplifying j = -1
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