90=2(p+5l)+2l

Solution for 90=2(p+5l)+2l equation:

Simplifying
90 = 2(p + 5l) + 2l

Reorder the terms:
90 = 2(5l + p) + 2l
90 = (5l * 2 + p * 2) + 2l
90 = (10l + 2p) + 2l

Reorder the terms:
90 = 10l + 2l + 2p

Combine like terms: 10l + 2l = 12l
90 = 12l + 2p

Solving
90 = 12l + 2p

Solving for variable 'l'.

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

Add '-12l' to each side of the equation.
90 + -12l = 12l + -12l + 2p

Combine like terms: 12l + -12l = 0
90 + -12l = 0 + 2p
90 + -12l = 2p

Add '-90' to each side of the equation.
90 + -90 + -12l = -90 + 2p

Combine like terms: 90 + -90 = 0
0 + -12l = -90 + 2p
-12l = -90 + 2p

Divide each side by '-12'.
l = 7.5 + -0.1666666667p

Simplifying
l = 7.5 + -0.1666666667p