Answer:
[tex]n = -\frac{3}{7}[/tex]
Step-by-step explanation:
Thinking process:
The equation can be set as follows:
[tex]\frac{2}{3(1+n)} = -\frac{1}{2n}[/tex]
The lowest common denominator is the product of the two numbers:
3(1+n) and (2n).
Cross-multiplying gives:
[tex]2 (2n) = -1*3(1+n)[/tex]
[tex]4n = -3-3n[/tex]
solving for n gives:
7n = -3
therefore, n = [tex]-\frac{3}{7}[/tex]
