4(4-w)=3(12w+2)

Solution for 4(4-w)=3(12w+2) equation:

Simplifying
4(4 + -1w) = 3(12w + 2)
(4 * 4 + -1w * 4) = 3(12w + 2)
(16 + -4w) = 3(12w + 2)

Reorder the terms:
16 + -4w = 3(2 + 12w)
16 + -4w = (2 * 3 + 12w * 3)
16 + -4w = (6 + 36w)

Solving
16 + -4w = 6 + 36w

Solving for variable 'w'.

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

Add '-36w' to each side of the equation.
16 + -4w + -36w = 6 + 36w + -36w

Combine like terms: -4w + -36w = -40w
16 + -40w = 6 + 36w + -36w

Combine like terms: 36w + -36w = 0
16 + -40w = 6 + 0
16 + -40w = 6

Add '-16' to each side of the equation.
16 + -16 + -40w = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -40w = 6 + -16
-40w = 6 + -16

Combine like terms: 6 + -16 = -10
-40w = -10

Divide each side by '-40'.
w = 0.25

Simplifying
w = 0.25