-5(k-1)=105

Solution for -5(k-1)=105 equation:

Simplifying
-5(k + -1) = 105

Reorder the terms:
-5(-1 + k) = 105
(-1 * -5 + k * -5) = 105
(5 + -5k) = 105

Solving
5 + -5k = 105

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + -5 + -5k = 105 + -5

Combine like terms: 5 + -5 = 0
0 + -5k = 105 + -5
-5k = 105 + -5

Combine like terms: 105 + -5 = 100
-5k = 100

Divide each side by '-5'.
k = -20

Simplifying
k = -20