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Simplifying 48j + -17j + -27j + 8 = 32 Reorder the terms: 8 + 48j + -17j + -27j = 32 Combine like terms: 48j + -17j = 31j 8 + 31j + -27j = 32 Combine like terms: 31j + -27j = 4j 8 + 4j = 32 Solving 8 + 4j = 32 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4j = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4j = 32 + -8 4j = 32 + -8 Combine like terms: 32 + -8 = 24 4j = 24 Divide each side by '4'. j = 6 Simplifying j = 6
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