Simplify:
`5x+3y-8z+2y-3x+5z+z-7y-2x`

Answer

To simplify the expression \( 5x + 3y - 8z + 2y - 3x + 5z + z - 7y - 2x \), we will follow these steps:

### Step 1: Rearranging the Expression
First, we will group the like terms together. The like terms are those that contain the same variable.

\[ (5x - 3x - 2x) + (3y + 2y - 7y) + (-8z + 5z + z) \]

### Step 2: Simplifying the Coefficients
Now, we will simplify each group of like terms.

- For \( x \) terms:
\[ 5x - 3x - 2x = (5 - 3 - 2)x = 0x = 0 \]

- For \( y \) terms:
\[ 3y + 2y - 7y = (3 + 2 - 7)y = -2y \]

- For \( z \) terms:
\[ -8z + 5z + z = (-8 + 5 + 1)z = -2z \]

### Step 3: Combining the Results
Now, we combine the results of the simplified terms:

\[ 0 - 2y - 2z = -2y - 2z \]

### Final Answer
Thus, the simplified expression is:

\[ -2y - 2z \]

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