w+6=3(w+6)

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

Simplifying
w + 6 = 3(w + 6)

Reorder the terms:
6 + w = 3(w + 6)

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

Solving
6 + w = 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 + w + -3w = 18 + 3w + -3w

Combine like terms: w + -3w = -2w
6 + -2w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -2w = 18 + 0
6 + -2w = 18

Add '-6' to each side of the equation.
6 + -6 + -2w = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 18 + -6
-2w = 18 + -6

Combine like terms: 18 + -6 = 12
-2w = 12

Divide each side by '-2'.
w = -6

Simplifying
w = -6