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Simplifying 5j + 8 = 10 + -1j Reorder the terms: 8 + 5j = 10 + -1j Solving 8 + 5j = 10 + -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. 8 + 5j + j = 10 + -1j + j Combine like terms: 5j + j = 6j 8 + 6j = 10 + -1j + j Combine like terms: -1j + j = 0 8 + 6j = 10 + 0 8 + 6j = 10 Add '-8' to each side of the equation. 8 + -8 + 6j = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 6j = 10 + -8 6j = 10 + -8 Combine like terms: 10 + -8 = 2 6j = 2 Divide each side by '6'. j = 0.3333333333 Simplifying j = 0.3333333333
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