Solve \( (7 x z+2 y z)-(-9 x y+3 y z)+ \) \( (5 x z-4 x y) \)

To solve the expression \( (7 x z + 2 y z) - (-9 x y + 3 y z) + (5 x z - 4 x y) \), we start by simplifying the terms: 1. Distributing the negative sign: \[ (7 x z + 2 y z) + (9 x y - 3 y z) + (5 x z - 4 x y) \] 2. Now, let's combine like terms: - For the \( x z \) terms: \( 7 x z + 5 x z = 12 x z \) - For the \( y z \) terms: \( 2 y z - 3 y z = -1 y z \) - For the \( x y \) terms: \( 9 x y - 4 x y = 5 x y \) Combining all these, we have: \[ 12 x z - 1 y z + 5 x y \] So the simplified expression is: \[ 12 x z - y z + 5 x y \]