-31=-6+2(k+3)

Solution for -31=-6+2(k+3) equation:

Simplifying
-31 = -6 + 2(k + 3)

Reorder the terms:
-31 = -6 + 2(3 + k)
-31 = -6 + (3 * 2 + k * 2)
-31 = -6 + (6 + 2k)

Combine like terms: -6 + 6 = 0
-31 = 0 + 2k
-31 = 2k

Solving
-31 = 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.
-31 + -2k = 2k + -2k

Combine like terms: 2k + -2k = 0
-31 + -2k = 0

Add '31' to each side of the equation.
-31 + 31 + -2k = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -2k = 0 + 31
-2k = 0 + 31

Combine like terms: 0 + 31 = 31
-2k = 31

Divide each side by '-2'.
k = -15.5

Simplifying
k = -15.5