Let's simplify the right side of the equation step by step to see if \( 6 = 8 - 5(7 \cdot -1) \) holds true.
First, calculate \( 7 \cdot -1 \):
\[ 7 \cdot -1 = -7 \]
Now, substitute this back into the equation:
\[ 6 = 8 - 5(-7) \]
Next, calculate \( 5 \cdot -7 \):
\[ 5(-7) = -35 \]
So now substitute this back into the equation:
\[ 6 = 8 - (-35) \]
Since subtracting a negative is the same as adding:
\[ 6 = 8 + 35 \]
Adding \( 8 \) and \( 35 \):
\[ 6 = 43 \]
This is not true, so the equation \( 6 = 8 - 5(7 \cdot -1) \) does not hold. The equation is incorrect.