6r + 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

Question

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

_b + _r

Answer 1

To simplify the expression \((6b + 4r) - (2b + r)\), we start by distributing the negative sign across the second set of parentheses:

\[ (6b + 4r) - (2b + r) = 6b + 4r - 2b - r \]

Next, we combine like terms:

1. Combine the terms with \(b\): \[ 6b - 2b = 4b \]

2. Combine the terms with \(r\): \[ 4r - r = 3r \]

Now, we put it all together:

\[ 4b + 3r \]

So, the simplified expression is:

\[ \boxed{4b + 3r} \]