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Simplifying 9j + -32 = j + 18 + 3j Reorder the terms: -32 + 9j = j + 18 + 3j Reorder the terms: -32 + 9j = 18 + j + 3j Combine like terms: j + 3j = 4j -32 + 9j = 18 + 4j Solving -32 + 9j = 18 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -32 + 9j + -4j = 18 + 4j + -4j Combine like terms: 9j + -4j = 5j -32 + 5j = 18 + 4j + -4j Combine like terms: 4j + -4j = 0 -32 + 5j = 18 + 0 -32 + 5j = 18 Add '32' to each side of the equation. -32 + 32 + 5j = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 5j = 18 + 32 5j = 18 + 32 Combine like terms: 18 + 32 = 50 5j = 50 Divide each side by '5'. j = 10 Simplifying j = 10
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