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Simplifying 10 + 7 + -1j = -10j + -10 Combine like terms: 10 + 7 = 17 17 + -1j = -10j + -10 Reorder the terms: 17 + -1j = -10 + -10j Solving 17 + -1j = -10 + -10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10j' to each side of the equation. 17 + -1j + 10j = -10 + -10j + 10j Combine like terms: -1j + 10j = 9j 17 + 9j = -10 + -10j + 10j Combine like terms: -10j + 10j = 0 17 + 9j = -10 + 0 17 + 9j = -10 Add '-17' to each side of the equation. 17 + -17 + 9j = -10 + -17 Combine like terms: 17 + -17 = 0 0 + 9j = -10 + -17 9j = -10 + -17 Combine like terms: -10 + -17 = -27 9j = -27 Divide each side by '9'. j = -3 Simplifying j = -3
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