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Simplifying 8 + -10j = -9j + 15 Reorder the terms: 8 + -10j = 15 + -9j Solving 8 + -10j = 15 + -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. 8 + -10j + 9j = 15 + -9j + 9j Combine like terms: -10j + 9j = -1j 8 + -1j = 15 + -9j + 9j Combine like terms: -9j + 9j = 0 8 + -1j = 15 + 0 8 + -1j = 15 Add '-8' to each side of the equation. 8 + -8 + -1j = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1j = 15 + -8 -1j = 15 + -8 Combine like terms: 15 + -8 = 7 -1j = 7 Divide each side by '-1'. j = -7 Simplifying j = -7
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