6-8(7k-6)=-338

Solution for 6-8(7k-6)=-338 equation:

Simplifying
6 + -8(7k + -6) = -338

Reorder the terms:
6 + -8(-6 + 7k) = -338
6 + (-6 * -8 + 7k * -8) = -338
6 + (48 + -56k) = -338

Combine like terms: 6 + 48 = 54
54 + -56k = -338

Solving
54 + -56k = -338

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-54' to each side of the equation.
54 + -54 + -56k = -338 + -54

Combine like terms: 54 + -54 = 0
0 + -56k = -338 + -54
-56k = -338 + -54

Combine like terms: -338 + -54 = -392
-56k = -392

Divide each side by '-56'.
k = 7

Simplifying
k = 7