-6=2+3k+1

Solution for -6=2+3k+1 equation:

Simplifying
-6 = 2 + 3k + 1

Reorder the terms:
-6 = 2 + 1 + 3k

Combine like terms: 2 + 1 = 3
-6 = 3 + 3k

Solving
-6 = 3 + 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.
-6 + -3k = 3 + 3k + -3k

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

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

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

Combine like terms: 3 + 6 = 9
-3k = 9

Divide each side by '-3'.
k = -3

Simplifying
k = -3