6=3-2(4w+1)

Solution for 6=3-2(4w+1) equation:

Simplifying
6 = 3 + -2(4w + 1)

Reorder the terms:
6 = 3 + -2(1 + 4w)
6 = 3 + (1 * -2 + 4w * -2)
6 = 3 + (-2 + -8w)

Combine like terms: 3 + -2 = 1
6 = 1 + -8w

Solving
6 = 1 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
6 + 8w = 1 + -8w + 8w

Combine like terms: -8w + 8w = 0
6 + 8w = 1 + 0
6 + 8w = 1

Add '-6' to each side of the equation.
6 + -6 + 8w = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 8w = 1 + -6
8w = 1 + -6

Combine like terms: 1 + -6 = -5
8w = -5

Divide each side by '8'.
w = -0.625

Simplifying
w = -0.625