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Simplifying 10 + -10j = -5j + -6 + -9j Reorder the terms: 10 + -10j = -6 + -5j + -9j Combine like terms: -5j + -9j = -14j 10 + -10j = -6 + -14j Solving 10 + -10j = -6 + -14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '14j' to each side of the equation. 10 + -10j + 14j = -6 + -14j + 14j Combine like terms: -10j + 14j = 4j 10 + 4j = -6 + -14j + 14j Combine like terms: -14j + 14j = 0 10 + 4j = -6 + 0 10 + 4j = -6 Add '-10' to each side of the equation. 10 + -10 + 4j = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 4j = -6 + -10 4j = -6 + -10 Combine like terms: -6 + -10 = -16 4j = -16 Divide each side by '4'. j = -4 Simplifying j = -4
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