To simplify the expression \(2(10b + 4) - (b - 2)\), follow these steps:
-
Distribute the \(2\) in the first term: \[ 2(10b + 4) = 20b + 8 \]
-
Rewrite the expression: \[ 20b + 8 - (b - 2) \]
-
Distribute the negative sign in the second term: \[ 20b + 8 - b + 2 \]
-
Combine like terms: \[ (20b - b) + (8 + 2) = 19b + 10 \]
Thus, the simplified expression is: \[ \boxed{19b + 10} \]