5(v-3)-7v=1
mutiply the bracket by 5
(5)(v)(5)(-3)-7v= 1
5v-15-7v
5v-7v-15 - combing like terms
5v-7v-15= 1
-2v-15= 1
move -15 to the other side
sign changes from -15 to +15
-2v-15+15= 1+15
-2v=16
divide by -2 for both sides
-2v/-2= 16/-2
Cross out -2 and -2, divide by -2 then becomes 1*1*v= v
v= -8
Answer: v=-8