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Simplifying -7j + 1 = 8 + -6j Reorder the terms: 1 + -7j = 8 + -6j Solving 1 + -7j = 8 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 1 + -7j + 6j = 8 + -6j + 6j Combine like terms: -7j + 6j = -1j 1 + -1j = 8 + -6j + 6j Combine like terms: -6j + 6j = 0 1 + -1j = 8 + 0 1 + -1j = 8 Add '-1' to each side of the equation. 1 + -1 + -1j = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1j = 8 + -1 -1j = 8 + -1 Combine like terms: 8 + -1 = 7 -1j = 7 Divide each side by '-1'. j = -7 Simplifying j = -7
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