-33+2(2k+3)=37

Solution for -33+2(2k+3)=37 equation:

Simplifying
-33 + 2(2k + 3) = 37

Reorder the terms:
-33 + 2(3 + 2k) = 37
-33 + (3 * 2 + 2k * 2) = 37
-33 + (6 + 4k) = 37

Combine like terms: -33 + 6 = -27
-27 + 4k = 37

Solving
-27 + 4k = 37

Solving for variable 'k'.

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

Add '27' to each side of the equation.
-27 + 27 + 4k = 37 + 27

Combine like terms: -27 + 27 = 0
0 + 4k = 37 + 27
4k = 37 + 27

Combine like terms: 37 + 27 = 64
4k = 64

Divide each side by '4'.
k = 16

Simplifying
k = 16