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Simplifying 21j + 100 = 44j + -84 Reorder the terms: 100 + 21j = 44j + -84 Reorder the terms: 100 + 21j = -84 + 44j Solving 100 + 21j = -84 + 44j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-44j' to each side of the equation. 100 + 21j + -44j = -84 + 44j + -44j Combine like terms: 21j + -44j = -23j 100 + -23j = -84 + 44j + -44j Combine like terms: 44j + -44j = 0 100 + -23j = -84 + 0 100 + -23j = -84 Add '-100' to each side of the equation. 100 + -100 + -23j = -84 + -100 Combine like terms: 100 + -100 = 0 0 + -23j = -84 + -100 -23j = -84 + -100 Combine like terms: -84 + -100 = -184 -23j = -184 Divide each side by '-23'. j = 8 Simplifying j = 8
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