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

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

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

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

Reorder the terms:
6 = 18 + -3w + 6w

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

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

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

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

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

Combine like terms: 18 + -6 = 12
-3w = 12

Divide each side by '-3'.
w = -4

Simplifying
w = -4