96=2(2w)+(2l+6)

Solution for 96=2(2w)+(2l+6) equation:

Simplifying
96 = 2(2w) + (2l + 6)

Remove parenthesis around (2w)
96 = 2 * 2w + (2l + 6)

Multiply 2 * 2
96 = 4w + (2l + 6)

Reorder the terms:
96 = 4w + (6 + 2l)

Remove parenthesis around (6 + 2l)
96 = 4w + 6 + 2l

Reorder the terms:
96 = 6 + 2l + 4w

Solving
96 = 6 + 2l + 4w

Solving for variable 'l'.

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

Add '-2l' to each side of the equation.
96 + -2l = 6 + 2l + -2l + 4w

Combine like terms: 2l + -2l = 0
96 + -2l = 6 + 0 + 4w
96 + -2l = 6 + 4w

Add '-96' to each side of the equation.
96 + -96 + -2l = 6 + -96 + 4w

Combine like terms: 96 + -96 = 0
0 + -2l = 6 + -96 + 4w
-2l = 6 + -96 + 4w

Combine like terms: 6 + -96 = -90
-2l = -90 + 4w

Divide each side by '-2'.
l = 45 + -2w

Simplifying
l = 45 + -2w