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Simplifying 10 + -5j = -9j + -10 Reorder the terms: 10 + -5j = -10 + -9j Solving 10 + -5j = -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. 10 + -5j + 9j = -10 + -9j + 9j Combine like terms: -5j + 9j = 4j 10 + 4j = -10 + -9j + 9j Combine like terms: -9j + 9j = 0 10 + 4j = -10 + 0 10 + 4j = -10 Add '-10' to each side of the equation. 10 + -10 + 4j = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4j = -10 + -10 4j = -10 + -10 Combine like terms: -10 + -10 = -20 4j = -20 Divide each side by '4'. j = -5 Simplifying j = -5
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