QuestionAugust 26, 2025

9) -(5)/(3)n+(4)/(3)+(3)/(4)=(19)/(4)

9) -(5)/(3)n+(4)/(3)+(3)/(4)=(19)/(4)
9) -(5)/(3)n+(4)/(3)+(3)/(4)=(19)/(4)

Solution
4.1(254 votes)

Answer

n = -\frac{8}{5} Explanation 1. Eliminate Fractions Multiply every term by 12 (LCM of 3 and 4) to clear fractions: -20n + 16 + 9 = 57. 2. Simplify Equation Combine like terms: -20n + 25 = 57. 3. Isolate Variable Term Subtract 25 from both sides: -20n = 32. 4. Solve for n Divide both sides by -20: n = -\frac{32}{20} = -\frac{8}{5}.

Explanation

1. Eliminate Fractions<br /> Multiply every term by 12 (LCM of 3 and 4) to clear fractions: $-20n + 16 + 9 = 57$.<br /><br />2. Simplify Equation<br /> Combine like terms: $-20n + 25 = 57$.<br /><br />3. Isolate Variable Term<br /> Subtract 25 from both sides: $-20n = 32$.<br /><br />4. Solve for n<br /> Divide both sides by -20: $n = -\frac{32}{20} = -\frac{8}{5}$.
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