Answer
$23$.
Work Step by Step
The given equation is
$\Rightarrow 4(x-3)-r+2x=5(3x-7)-9x$
Use distributive property.
$\Rightarrow 4x-12-r+2x=15x-35-9x$
Add like terms.
$\Rightarrow 6x-12-r=6x-35$
Add $-6x+12$ to each side.
$\Rightarrow 6x-12-r-6x+12=6x-35-6x+12$
Simplify.
$\Rightarrow -r=-23$
$\Rightarrow r=23$
Hence, the value of $r$ is $23$.
