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(2 points)

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

__b+__ r

1 answer

To simplify the expression \((6b + 4r) - (2b + r)\), we can distribute the negative sign and combine like terms:

  1. Start with the original expression: \[ (6b + 4r) - (2b + r) \]

  2. Distribute the negative sign: \[ 6b + 4r - 2b - r \]

  3. Now, combine the like terms for \(b\) and \(r\):

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

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

So the answer is: \[ __b + __ r \Rightarrow 4b + 3r \]