6b + 4r represents 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

(6b + 4r) - (2b + r). Simplify the expression

1 answer

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

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

  2. Combine like terms. First, combine the \(b\) terms: \[ 6b - 2b = 4b \]

  3. Now, combine the \(r\) terms: \[ 4r - r = 3r \]

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

So, the total cost after the return is represented by \(4b + 3r\).