6[7+2(k-1)]-1=5

Solution for 6[7+2(k-1)]-1=5 equation:

Simplifying
6[7 + 2(k + -1)] + -1 = 5

Reorder the terms:
6[7 + 2(-1 + k)] + -1 = 5
6[7 + (-1 * 2 + k * 2)] + -1 = 5
6[7 + (-2 + 2k)] + -1 = 5

Combine like terms: 7 + -2 = 5
6[5 + 2k] + -1 = 5
[5 * 6 + 2k * 6] + -1 = 5
[30 + 12k] + -1 = 5

Reorder the terms:
30 + -1 + 12k = 5

Combine like terms: 30 + -1 = 29
29 + 12k = 5

Solving
29 + 12k = 5

Solving for variable 'k'.

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

Add '-29' to each side of the equation.
29 + -29 + 12k = 5 + -29

Combine like terms: 29 + -29 = 0
0 + 12k = 5 + -29
12k = 5 + -29

Combine like terms: 5 + -29 = -24
12k = -24

Divide each side by '12'.
k = -2

Simplifying
k = -2