R language for Solving 4 equations with 4 unknowns

Question

I want to code this non-linear system of equation into R language, for that I suppose I need to make a variable matrix of v, x, y and z but I am to able to accomplish this, I need a help from R-language programmers.

Moreover, I have created a working code for this problem in MATLAB, I want to amazing if anyone can help me with the conversion of MATLAB code into R-language.

A=11.75, B=11.8, C=11.75, D=11.8
A*(y+z+v)=x*(y+z+v-A),-----> Eq(1)
B*(x+z+v)=y*(x+z+v-B),-----> Eq(2) 
C*(x+y+v)=z*(x+y+v-C), -----> Eq(3)
D*(x+y+z)=v*(x+y+z-D), -----> Eq(4)

Waiting for possible solutions.

Thank you.