12w+-6+w=32+4w+21

Solution for 12w+-6+w=32+4w+21 equation:

Simplifying
12w + -6 + w = 32 + 4w + 21

Reorder the terms:
-6 + 12w + w = 32 + 4w + 21

Combine like terms: 12w + w = 13w
-6 + 13w = 32 + 4w + 21

Reorder the terms:
-6 + 13w = 32 + 21 + 4w

Combine like terms: 32 + 21 = 53
-6 + 13w = 53 + 4w

Solving
-6 + 13w = 53 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-6 + 13w + -4w = 53 + 4w + -4w

Combine like terms: 13w + -4w = 9w
-6 + 9w = 53 + 4w + -4w

Combine like terms: 4w + -4w = 0
-6 + 9w = 53 + 0
-6 + 9w = 53

Add '6' to each side of the equation.
-6 + 6 + 9w = 53 + 6

Combine like terms: -6 + 6 = 0
0 + 9w = 53 + 6
9w = 53 + 6

Combine like terms: 53 + 6 = 59
9w = 59

Divide each side by '9'.
w = 6.555555556

Simplifying
w = 6.555555556