Questions: -8(-x+7y-6)

Solution Steps

To distribute the expression \(-8(-x+7y-6)\), we need to apply the distributive property. This involves multiplying \(-8\) by each term inside the parentheses: \(-x\), \(7y\), and \(-6\).

We start with the expression: \[ -8(-x + 7y - 6) \] Using the distributive property, we multiply \(-8\) by each term inside the parentheses.

1. For the term \(-x\): \[ -8 \cdot (-1) = 8 \]
2. For the term \(7y\): \[ -8 \cdot 7 = -56 \]
3. For the constant term \(-6\): \[ -8 \cdot (-6) = 48 \]

After distributing, we combine the results to form the final expression: \[ 8 - 56y + 48 \]

Final Answer