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Simplifying 3 + 6j = -1j + 59 Reorder the terms: 3 + 6j = 59 + -1j Solving 3 + 6j = 59 + -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 + 6j + j = 59 + -1j + j Combine like terms: 6j + j = 7j 3 + 7j = 59 + -1j + j Combine like terms: -1j + j = 0 3 + 7j = 59 + 0 3 + 7j = 59 Add '-3' to each side of the equation. 3 + -3 + 7j = 59 + -3 Combine like terms: 3 + -3 = 0 0 + 7j = 59 + -3 7j = 59 + -3 Combine like terms: 59 + -3 = 56 7j = 56 Divide each side by '7'. j = 8 Simplifying j = 8
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