7w+6=3(w-6)

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

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

Reorder the terms:
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