3w+2(w+8)=1

Solution for 3w+2(w+8)=1 equation:

Simplifying
3w + 2(w + 8) = 1

Reorder the terms:
3w + 2(8 + w) = 1
3w + (8 * 2 + w * 2) = 1
3w + (16 + 2w) = 1

Reorder the terms:
16 + 3w + 2w = 1

Combine like terms: 3w + 2w = 5w
16 + 5w = 1

Solving
16 + 5w = 1

Solving for variable 'w'.

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

Add '-16' to each side of the equation.
16 + -16 + 5w = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 5w = 1 + -16
5w = 1 + -16

Combine like terms: 1 + -16 = -15
5w = -15

Divide each side by '5'.
w = -3

Simplifying
w = -3