6[k+1]=2k+7

Solution for 6[k+1]=2k+7 equation:

Simplifying
6[k + 1] = 2k + 7

Reorder the terms:
6[1 + k] = 2k + 7
[1 * 6 + k * 6] = 2k + 7
[6 + 6k] = 2k + 7

Reorder the terms:
6 + 6k = 7 + 2k

Solving
6 + 6k = 7 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
6 + 6k + -2k = 7 + 2k + -2k

Combine like terms: 6k + -2k = 4k
6 + 4k = 7 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 4k = 7 + 0
6 + 4k = 7

Add '-6' to each side of the equation.
6 + -6 + 4k = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 4k = 7 + -6
4k = 7 + -6

Combine like terms: 7 + -6 = 1
4k = 1

Divide each side by '4'.
k = 0.25

Simplifying
k = 0.25