Solve for r 6.3r=0.1+5.8r

$6.3 r = 0.1 + 5.8 r$

Move all terms containing $r$ to the left side of the equation.

Subtract $5.8 r$ from both sides of the equation.

$6.3 r - 5.8 r = 0.1$

Subtract $5.8 r$ from $6.3 r$ .

$0.5 r = 0.1$

Divide each term in $0.5 r = 0.1$ by $0.5$ and simplify.

Divide each term in $0.5 r = 0.1$ by $0.5$ .

$\frac{0.5 r}{0.5} = \frac{0.1}{0.5}$

Simplify the left side.

Cancel the common factor of $0.5$ .

Cancel the common factor.

$\frac{0.5 r}{0.5} = \frac{0.1}{0.5}$

Divide $r$ by $1$ .

$r = \frac{0.1}{0.5}$

Simplify the right side.

Divide $0.1$ by $0.5$ .

$r = 0.2$