6(k-1)-(k-1)=10

Solution for 6(k-1)-(k-1)=10 equation:

Simplifying
6(k + -1) + -1(k + -1) = 10

Reorder the terms:
6(-1 + k) + -1(k + -1) = 10
(-1 * 6 + k * 6) + -1(k + -1) = 10
(-6 + 6k) + -1(k + -1) = 10

Reorder the terms:
-6 + 6k + -1(-1 + k) = 10
-6 + 6k + (-1 * -1 + k * -1) = 10
-6 + 6k + (1 + -1k) = 10

Reorder the terms:
-6 + 1 + 6k + -1k = 10

Combine like terms: -6 + 1 = -5
-5 + 6k + -1k = 10

Combine like terms: 6k + -1k = 5k
-5 + 5k = 10

Solving
-5 + 5k = 10

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 = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 5k = 10 + 5
5k = 10 + 5

Combine like terms: 10 + 5 = 15
5k = 15

Divide each side by '5'.
k = 3

Simplifying
k = 3