6(w+1)=2*w+34

Solution for 6(w+1)=2*w+34 equation:

Simplifying
6(w + 1) = 2w + 34

Reorder the terms:
6(1 + w) = 2w + 34
(1 * 6 + w * 6) = 2w + 34
(6 + 6w) = 2w + 34

Reorder the terms:
6 + 6w = 34 + 2w

Solving
6 + 6w = 34 + 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.
6 + 6w + -2w = 34 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
6 + 4w = 34 + 0
6 + 4w = 34

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

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

Combine like terms: 34 + -6 = 28
4w = 28

Divide each side by '4'.
w = 7

Simplifying
w = 7