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Simplifying 8j + -5 = -1j + 67 Reorder the terms: -5 + 8j = -1j + 67 Reorder the terms: -5 + 8j = 67 + -1j Solving -5 + 8j = 67 + -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. -5 + 8j + j = 67 + -1j + j Combine like terms: 8j + j = 9j -5 + 9j = 67 + -1j + j Combine like terms: -1j + j = 0 -5 + 9j = 67 + 0 -5 + 9j = 67 Add '5' to each side of the equation. -5 + 5 + 9j = 67 + 5 Combine like terms: -5 + 5 = 0 0 + 9j = 67 + 5 9j = 67 + 5 Combine like terms: 67 + 5 = 72 9j = 72 Divide each side by '9'. j = 8 Simplifying j = 8
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