2(w-3)-3(3w-2)=-14

Solution for 2(w-3)-3(3w-2)=-14 equation:

Simplifying
2(w + -3) + -3(3w + -2) = -14

Reorder the terms:
2(-3 + w) + -3(3w + -2) = -14
(-3 * 2 + w * 2) + -3(3w + -2) = -14
(-6 + 2w) + -3(3w + -2) = -14

Reorder the terms:
-6 + 2w + -3(-2 + 3w) = -14
-6 + 2w + (-2 * -3 + 3w * -3) = -14
-6 + 2w + (6 + -9w) = -14

Reorder the terms:
-6 + 6 + 2w + -9w = -14

Combine like terms: -6 + 6 = 0
0 + 2w + -9w = -14
2w + -9w = -14

Combine like terms: 2w + -9w = -7w
-7w = -14

Solving
-7w = -14

Solving for variable 'w'.

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

Divide each side by '-7'.
w = 2

Simplifying
w = 2