To simplify the expression \(-10(-2p + 10) - 4p\), we can follow these steps:
-
Distribute \(-10\) to the terms inside the parentheses: \[ -10(-2p) + (-10)(10) = 20p - 100 \]
-
Now, incorporate the \(-4p\) from the original expression: \[ 20p - 100 - 4p \]
-
Combine like terms (the terms involving \(p\)): \[ 20p - 4p = 16p \]
-
Put everything together: \[ 16p - 100 \]
Therefore, the simplified expression is: \[ 16p - 100 \]