Answer:
n = - [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] (1 + n) = - [tex]\frac{1}{2}[/tex] n
Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions
4(1 + n) = - 3n ← distribute left side
4 + 4n = - 3n ( add 3n to both sides )
4 + 7n = 0 ( subtract 4 from both sides )
7n = - 4 ( divide both sides by 7 )
n = - [tex]\frac{4}{7}[/tex]
