For this case we have the following problem given: |v-5|+7=21
And we want to solve for the value of v. On this case we just need to do the following procedure. First we can start subtracting 7 from both sides of the equation and we got:
[tex]\left|v-5\right|=14[/tex]Then since we have an absolute value we have two possible solutions:
First one:
[tex]v-5=-14\rightarrow v=-9[/tex]Second one:
[tex]v-5=14\rightarrow v=19[/tex]And then the solution for this case would be
v= -9 or v=19
