To simplify the expression \( 4.2 + 6.8b - 2.5b + 10.3 + 7.1b \), you can combine like terms.
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First, combine the constant terms: \[ 4.2 + 10.3 = 14.5 \]
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Next, combine the coefficients of \( b \): \[ 6.8b - 2.5b + 7.1b = (6.8 - 2.5 + 7.1)b = 11.4b \]
Now, put the combined terms together: \[ 14.5 + 11.4b \]
So the simplified expression is: \[ \boxed{14.5 + 11.4b} \]