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Simplifying 5j + -10 + 9j = 5 + 9j Reorder the terms: -10 + 5j + 9j = 5 + 9j Combine like terms: 5j + 9j = 14j -10 + 14j = 5 + 9j Solving -10 + 14j = 5 + 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 + 14j + -9j = 5 + 9j + -9j Combine like terms: 14j + -9j = 5j -10 + 5j = 5 + 9j + -9j Combine like terms: 9j + -9j = 0 -10 + 5j = 5 + 0 -10 + 5j = 5 Add '10' to each side of the equation. -10 + 10 + 5j = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5j = 5 + 10 5j = 5 + 10 Combine like terms: 5 + 10 = 15 5j = 15 Divide each side by '5'. j = 3 Simplifying j = 3
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