-6+7w=3(w+6)

Solution for -6+7w=3(w+6) equation:

Simplifying
-6 + 7w = 3(w + 6)

Reorder the terms:
-6 + 7w = 3(6 + w)
-6 + 7w = (6 * 3 + w * 3)
-6 + 7w = (18 + 3w)

Solving
-6 + 7w = 18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-6 + 7w + -3w = 18 + 3w + -3w

Combine like terms: 7w + -3w = 4w
-6 + 4w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + 4w = 18 + 0
-6 + 4w = 18

Add '6' to each side of the equation.
-6 + 6 + 4w = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4w = 18 + 6
4w = 18 + 6

Combine like terms: 18 + 6 = 24
4w = 24

Divide each side by '4'.
w = 6

Simplifying
w = 6