3(3+w)=2(w-6)

Solution for 3(3+w)=2(w-6) equation:

Simplifying
3(3 + w) = 2(w + -6)
(3 * 3 + w * 3) = 2(w + -6)
(9 + 3w) = 2(w + -6)

Reorder the terms:
9 + 3w = 2(-6 + w)
9 + 3w = (-6 * 2 + w * 2)
9 + 3w = (-12 + 2w)

Solving
9 + 3w = -12 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
9 + 3w + -2w = -12 + 2w + -2w

Combine like terms: 3w + -2w = 1w
9 + 1w = -12 + 2w + -2w

Combine like terms: 2w + -2w = 0
9 + 1w = -12 + 0
9 + 1w = -12

Add '-9' to each side of the equation.
9 + -9 + 1w = -12 + -9

Combine like terms: 9 + -9 = 0
0 + 1w = -12 + -9
1w = -12 + -9

Combine like terms: -12 + -9 = -21
1w = -21

Divide each side by '1'.
w = -21

Simplifying
w = -21