6(w-7)=4w-34

Solution for 6(w-7)=4w-34 equation:

Simplifying
6(w + -7) = 4w + -34

Reorder the terms:
6(-7 + w) = 4w + -34
(-7 * 6 + w * 6) = 4w + -34
(-42 + 6w) = 4w + -34

Reorder the terms:
-42 + 6w = -34 + 4w

Solving
-42 + 6w = -34 + 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.
-42 + 6w + -4w = -34 + 4w + -4w

Combine like terms: 6w + -4w = 2w
-42 + 2w = -34 + 4w + -4w

Combine like terms: 4w + -4w = 0
-42 + 2w = -34 + 0
-42 + 2w = -34

Add '42' to each side of the equation.
-42 + 42 + 2w = -34 + 42

Combine like terms: -42 + 42 = 0
0 + 2w = -34 + 42
2w = -34 + 42

Combine like terms: -34 + 42 = 8
2w = 8

Divide each side by '2'.
w = 4

Simplifying
w = 4