111+5(k-1)=3k-(6k-6)

Solution for 111+5(k-1)=3k-(6k-6) equation:

Simplifying
111 + 5(k + -1) = 3k + -1(6k + -6)

Reorder the terms:
111 + 5(-1 + k) = 3k + -1(6k + -6)
111 + (-1 * 5 + k * 5) = 3k + -1(6k + -6)
111 + (-5 + 5k) = 3k + -1(6k + -6)

Combine like terms: 111 + -5 = 106
106 + 5k = 3k + -1(6k + -6)

Reorder the terms:
106 + 5k = 3k + -1(-6 + 6k)
106 + 5k = 3k + (-6 * -1 + 6k * -1)
106 + 5k = 3k + (6 + -6k)

Reorder the terms:
106 + 5k = 6 + 3k + -6k

Combine like terms: 3k + -6k = -3k
106 + 5k = 6 + -3k

Solving
106 + 5k = 6 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
106 + 5k + 3k = 6 + -3k + 3k

Combine like terms: 5k + 3k = 8k
106 + 8k = 6 + -3k + 3k

Combine like terms: -3k + 3k = 0
106 + 8k = 6 + 0
106 + 8k = 6

Add '-106' to each side of the equation.
106 + -106 + 8k = 6 + -106

Combine like terms: 106 + -106 = 0
0 + 8k = 6 + -106
8k = 6 + -106

Combine like terms: 6 + -106 = -100
8k = -100

Divide each side by '8'.
k = -12.5

Simplifying
k = -12.5