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Simplifying -8j + 1 = 81 + 2j Reorder the terms: 1 + -8j = 81 + 2j Solving 1 + -8j = 81 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 1 + -8j + -2j = 81 + 2j + -2j Combine like terms: -8j + -2j = -10j 1 + -10j = 81 + 2j + -2j Combine like terms: 2j + -2j = 0 1 + -10j = 81 + 0 1 + -10j = 81 Add '-1' to each side of the equation. 1 + -1 + -10j = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -10j = 81 + -1 -10j = 81 + -1 Combine like terms: 81 + -1 = 80 -10j = 80 Divide each side by '-10'. j = -8 Simplifying j = -8
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