To simplify the expression \((2b + 3r) + (4b + r)\), we can combine the like terms (terms with \(b\) and terms with \(r\)).
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Combine the \(b\) terms: \[ 2b + 4b = 6b \]
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Combine the \(r\) terms: \[ 3r + r = 4r \]
Putting them together, the simplified expression is: \[ 6b + 4r \]
So, the correct response is: 6b + 4r (6 b plus 4 r)