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Simplifying 8j + 8 = -1j + 44 Reorder the terms: 8 + 8j = -1j + 44 Reorder the terms: 8 + 8j = 44 + -1j Solving 8 + 8j = 44 + -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 + 8j + j = 44 + -1j + j Combine like terms: 8j + j = 9j 8 + 9j = 44 + -1j + j Combine like terms: -1j + j = 0 8 + 9j = 44 + 0 8 + 9j = 44 Add '-8' to each side of the equation. 8 + -8 + 9j = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 9j = 44 + -8 9j = 44 + -8 Combine like terms: 44 + -8 = 36 9j = 36 Divide each side by '9'. j = 4 Simplifying j = 4
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