Let's solve the equation step by step:
Given: \[ 3r - 2 = 6r + 10 \]
Step 1: Subtract \(10\) from both sides to isolate the terms involving \(r\):
\[ 3r - 2 - 10 = 6r + 10 - 10 \]
This simplifies to:
\[ 3r - 12 = 6r \]
Step 2: Next, subtract \(3r\) from both sides to get all the \(r\) terms on one side:
\[ 3r - 3r - 12 = 6r - 3r \]
This simplifies to:
\[ -12 = 3r \]
Step 3: Finally, divide both sides by \(3\) to solve for \(r\):
\[ \frac{-12}{3} = r \]
This gives us:
\[ r = -4 \]
So, the solution to the original equation is: \[ r = -4 \]