Answer :

Answer:

no solutions exist

Explanation:

First, we expand the equation; this gives

[tex]7r-14-9r+9=15-3r+r-8[/tex]

Next, we combine the like terms both on the left and the right-hand side.

[tex]\begin{gathered} 7r-9r-14+9=15-8-3r+r \\ \Rightarrow-2r-5=7-2r \end{gathered}[/tex]

adding 2r to both sides gives

[tex]-2r-5+2r=7-2r+2r[/tex][tex]\Rightarrow-5=7[/tex]

which is not true. Hence, no value of r satisfies the equation, and therefore, no solution exists.