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Subtract : 2x-3y+4z" from "10x+4y-8z....

Subtract :
`2x-3y+4z" from "10x+4y-8z`.

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The correct Answer is:
To subtract the expression \(2x - 3y + 4z\) from \(10x + 4y - 8z\), we can follow these steps: ### Step 1: Write the expressions clearly We start with the expression we need to subtract from: \[ 10x + 4y - 8z \] We need to subtract: \[ 2x - 3y + 4z \] ### Step 2: Rewrite the subtraction When we subtract the second expression from the first, we can rewrite it as: \[ 10x + 4y - 8z - (2x - 3y + 4z) \] ### Step 3: Distribute the negative sign Distributing the negative sign across the second expression gives: \[ 10x + 4y - 8z - 2x + 3y - 4z \] ### Step 4: Combine like terms Now, we will combine the like terms: - For \(x\) terms: \(10x - 2x = 8x\) - For \(y\) terms: \(4y + 3y = 7y\) - For \(z\) terms: \(-8z - 4z = -12z\) Putting it all together, we have: \[ 8x + 7y - 12z \] ### Final Answer Thus, the result of subtracting \(2x - 3y + 4z\) from \(10x + 4y - 8z\) is: \[ 8x + 7y - 12z \] ---
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