(k+1)+5k=-1+5(k-1)

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

Simplifying
(k + 1) + 5k = -1 + 5(k + -1)

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

Remove parenthesis around (1 + k)
1 + k + 5k = -1 + 5(k + -1)

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

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

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

Solving
1 + 6k = -6 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
1 + 6k + -5k = -6 + 5k + -5k

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

Combine like terms: 5k + -5k = 0
1 + 1k = -6 + 0
1 + 1k = -6

Add '-1' to each side of the equation.
1 + -1 + 1k = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 1k = -6 + -1
1k = -6 + -1

Combine like terms: -6 + -1 = -7
1k = -7

Divide each side by '1'.
k = -7

Simplifying
k = -7