122=-5k-6(4k-1)

Solution for 122=-5k-6(4k-1) equation:

Simplifying
122 = -5k + -6(4k + -1)

Reorder the terms:
122 = -5k + -6(-1 + 4k)
122 = -5k + (-1 * -6 + 4k * -6)
122 = -5k + (6 + -24k)

Reorder the terms:
122 = 6 + -5k + -24k

Combine like terms: -5k + -24k = -29k
122 = 6 + -29k

Solving
122 = 6 + -29k

Solving for variable 'k'.

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

Add '29k' to each side of the equation.
122 + 29k = 6 + -29k + 29k

Combine like terms: -29k + 29k = 0
122 + 29k = 6 + 0
122 + 29k = 6

Add '-122' to each side of the equation.
122 + -122 + 29k = 6 + -122

Combine like terms: 122 + -122 = 0
0 + 29k = 6 + -122
29k = 6 + -122

Combine like terms: 6 + -122 = -116
29k = -116

Divide each side by '29'.
k = -4

Simplifying
k = -4