To simplify the expression \(-21(4 - 10a) - 54a\), follow these steps:
Distribute \(-21\) to both terms inside the parentheses: \[-21 \cdot 4 + (-21) \cdot (-10a) = -84 + 210a\]
Now, incorporate the \(-54a\) from the original expression: \[-84 + 210a - 54a\]
Combine like terms (the terms with \(a\)): \[210a - 54a = 156a\]
Put it all together: \[-84 + 156a\]
So, the simplified expression is: \[ 156a - 84 \]