Let's simplify both expressions to determine which one is correct.
Option 1: \[ -8(3 - 2m) \] Distributing \(-8\) gives: \[ -8 \cdot 3 + -8 \cdot (-2m) = -24 + 16m \] Rearranging this, we get: \[ 16m - 24 \] So, Option 1 simplifies to: \[ -8(3 - 2m) = 16m - 24 \] This is correct.
Option 2: \[ 2(3m - 4) \] Distributing \(2\) gives: \[ 2 \cdot 3m + 2 \cdot (-4) = 6m - 8 \] So, Option 2 simplifies to: \[ 2(3m - 4) = 6m - 8 \] Since it is stated as \(6m + 8\) in the option, this is incorrect.
Thus, the correctly simplified algebraic expression is from Option 1: \[ -8(3 - 2m) = 16m - 24 \]