4(2w+1)-2=42

Solution for 4(2w+1)-2=42 equation:

Simplifying
4(2w + 1) + -2 = 42

Reorder the terms:
4(1 + 2w) + -2 = 42
(1 * 4 + 2w * 4) + -2 = 42
(4 + 8w) + -2 = 42

Reorder the terms:
4 + -2 + 8w = 42

Combine like terms: 4 + -2 = 2
2 + 8w = 42

Solving
2 + 8w = 42

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + 8w = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 8w = 42 + -2
8w = 42 + -2

Combine like terms: 42 + -2 = 40
8w = 40

Divide each side by '8'.
w = 5

Simplifying
w = 5