5 (v-3) - 7v=1

What is v?

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