3(w-2)-7w=30

Solution for 3(w-2)-7w=30 equation:

Simplifying
3(w + -2) + -7w = 30

Reorder the terms:
3(-2 + w) + -7w = 30
(-2 * 3 + w * 3) + -7w = 30
(-6 + 3w) + -7w = 30

Combine like terms: 3w + -7w = -4w
-6 + -4w = 30

Solving
-6 + -4w = 30

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + -4w = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -4w = 30 + 6
-4w = 30 + 6

Combine like terms: 30 + 6 = 36
-4w = 36

Divide each side by '-4'.
w = -9

Simplifying
w = -9