6b+4r %C2%A0represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is%C2%A0(6b+4r)−(2b+r) . Simplify the expression b+ %C2%A0 %C2%A0r

Answer 1

To simplify the expression \((6b + 4r) - (2b + r)\), follow these steps:

1. Distribute the negative sign in front of the second set of parentheses: \[ (6b + 4r) - 2b - r \]

2. Combine like terms:

   • For the \(b\) terms: \(6b - 2b = 4b\)
   • For the \(r\) terms: \(4r - r = 3r\)

Putting it together, the simplified expression is: \[ 4b + 3r \]

So, the final result is: \[ 4b + 3r \]