The lengths of the sides of a triangle are 4n, 2n+10, and 7n-15. is there a value of n that makes the trangle equilateral? explain.

Hope you know that an equilateral triangle has sides length equal ,so in this case we need writing 

4n=2n+10=7n-15
2n=10=7n-15
2n=10
n=5

10=7n-15
35=7n
n=35/7
n=5

so for n=5 the triangle will be equaliteral with sides length equal 20 units 

hope helped