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