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

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

Simplifying
4(4 + w) = 3(2w + 2)
(4 * 4 + w * 4) = 3(2w + 2)
(16 + 4w) = 3(2w + 2)

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

Solving
16 + 4w = 6 + 6w

Solving for variable 'w'.

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

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

Combine like terms: 4w + -6w = -2w
16 + -2w = 6 + 6w + -6w

Combine like terms: 6w + -6w = 0
16 + -2w = 6 + 0
16 + -2w = 6

Add '-16' to each side of the equation.
16 + -16 + -2w = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -2w = 6 + -16
-2w = 6 + -16

Combine like terms: 6 + -16 = -10
-2w = -10

Divide each side by '-2'.
w = 5

Simplifying
w = 5