8+4r=9r+r–10

1 answer

To solve the equation \( 8 + 4r = 9r + r - 10 \), we can first simplify the right side of the equation:

\[ 9r + r = 10r \]

Now, the equation becomes:

\[ 8 + 4r = 10r - 10 \]

Next, we'll rearrange the equation to get all terms involving \( r \) on one side and constant terms on the other side. Subtract \( 4r \) from both sides:

\[ 8 = 10r - 4r - 10 \]

This simplifies to:

\[ 8 = 6r - 10 \]

Now, add 10 to both sides:

\[ 8 + 10 = 6r \]

This gives us:

\[ 18 = 6r \]

Next, divide both sides by 6:

\[ r = \frac{18}{6} = 3 \]

Thus, the solution is:

\[ \boxed{3} \]