3(1-8k)+7k=-82

Solution for 3(1-8k)+7k=-82 equation:

Simplifying
3(1 + -8k) + 7k = -82
(1 * 3 + -8k * 3) + 7k = -82
(3 + -24k) + 7k = -82

Combine like terms: -24k + 7k = -17k
3 + -17k = -82

Solving
3 + -17k = -82

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + -17k = -82 + -3

Combine like terms: 3 + -3 = 0
0 + -17k = -82 + -3
-17k = -82 + -3

Combine like terms: -82 + -3 = -85
-17k = -85

Divide each side by '-17'.
k = 5

Simplifying
k = 5