-7k-6(k-1)=-85

Solution for -7k-6(k-1)=-85 equation:

Simplifying
-7k + -6(k + -1) = -85

Reorder the terms:
-7k + -6(-1 + k) = -85
-7k + (-1 * -6 + k * -6) = -85
-7k + (6 + -6k) = -85

Reorder the terms:
6 + -7k + -6k = -85

Combine like terms: -7k + -6k = -13k
6 + -13k = -85

Solving
6 + -13k = -85

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + -13k = -85 + -6

Combine like terms: 6 + -6 = 0
0 + -13k = -85 + -6
-13k = -85 + -6

Combine like terms: -85 + -6 = -91
-13k = -91

Divide each side by '-13'.
k = 7

Simplifying
k = 7