w+6=6(w-6)

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

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

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

Reorder the terms:
6 + w = 6(-6 + w)
6 + w = (-6 * 6 + w * 6)
6 + w = (-36 + 6w)

Solving
6 + w = -36 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
6 + w + -6w = -36 + 6w + -6w

Combine like terms: w + -6w = -5w
6 + -5w = -36 + 6w + -6w

Combine like terms: 6w + -6w = 0
6 + -5w = -36 + 0
6 + -5w = -36

Add '-6' to each side of the equation.
6 + -6 + -5w = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = -36 + -6
-5w = -36 + -6

Combine like terms: -36 + -6 = -42
-5w = -42

Divide each side by '-5'.
w = 8.4

Simplifying
w = 8.4