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Simplifying 10j + -5 = -3 + -9 + 9j Reorder the terms: -5 + 10j = -3 + -9 + 9j Combine like terms: -3 + -9 = -12 -5 + 10j = -12 + 9j Solving -5 + 10j = -12 + 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. -5 + 10j + -9j = -12 + 9j + -9j Combine like terms: 10j + -9j = 1j -5 + 1j = -12 + 9j + -9j Combine like terms: 9j + -9j = 0 -5 + 1j = -12 + 0 -5 + 1j = -12 Add '5' to each side of the equation. -5 + 5 + 1j = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 1j = -12 + 5 1j = -12 + 5 Combine like terms: -12 + 5 = -7 1j = -7 Divide each side by '1'. j = -7 Simplifying j = -7
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