34=3(w-2)-7w

Solution for 34=3(w-2)-7w equation:

Simplifying
34 = 3(w + -2) + -7w

Reorder the terms:
34 = 3(-2 + w) + -7w
34 = (-2 * 3 + w * 3) + -7w
34 = (-6 + 3w) + -7w

Combine like terms: 3w + -7w = -4w
34 = -6 + -4w

Solving
34 = -6 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
34 + 4w = -6 + -4w + 4w

Combine like terms: -4w + 4w = 0
34 + 4w = -6 + 0
34 + 4w = -6

Add '-34' to each side of the equation.
34 + -34 + 4w = -6 + -34

Combine like terms: 34 + -34 = 0
0 + 4w = -6 + -34
4w = -6 + -34

Combine like terms: -6 + -34 = -40
4w = -40

Divide each side by '4'.
w = -10

Simplifying
w = -10