Answer:
5
Step-by-step explanation:
We want to separate the variable r from the constants.
Let's add (1/5)r to both sides: [tex]12-\frac{1}{5} r+\frac{1}{5} r=2r+1+\frac{1}{5} r[/tex]. We now have the simplified equation: [tex]12=2\frac{1}{5} r+1[/tex]. Now, we subtract 1 from both sides:
[tex]12-1=2\frac{1}{5} r[/tex].
Let's turn the mixed number into an improper fraction by making 2 into 10/5 and adding that to 1/5: (10/5) + (1/5) = 11/5. So, we now have: [tex]11=\frac{11}{5} r[/tex].
To solve for r, we divide both sides by 11/5, which is the same as multiplying by its reciprocal, 5/11: [tex]r=11*\frac{5}{11} =5[/tex]
Thus, r = 5.
Hope this helps!
