6+3w=3(-w+11)

Solution for 6+3w=3(-w+11) equation:

Simplifying
6 + 3w = 3(-1w + 11)

Reorder the terms:
6 + 3w = 3(11 + -1w)
6 + 3w = (11 * 3 + -1w * 3)
6 + 3w = (33 + -3w)

Solving
6 + 3w = 33 + -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 + 3w = 33 + -3w + 3w

Combine like terms: 3w + 3w = 6w
6 + 6w = 33 + -3w + 3w

Combine like terms: -3w + 3w = 0
6 + 6w = 33 + 0
6 + 6w = 33

Add '-6' to each side of the equation.
6 + -6 + 6w = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 6w = 33 + -6
6w = 33 + -6

Combine like terms: 33 + -6 = 27
6w = 27

Divide each side by '6'.
w = 4.5

Simplifying
w = 4.5