24=2(1+.25l)+2l

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Solution for 24=2(1+.25l)+2l equation:


Simplifying
24 = 2(1 + 0.25l) + 2l
24 = (1 * 2 + 0.25l * 2) + 2l
24 = (2 + 0.5l) + 2l

Combine like terms: 0.5l + 2l = 2.5l
24 = 2 + 2.5l

Solving
24 = 2 + 2.5l

Solving for variable 'l'.

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

Add '-2.5l' to each side of the equation.
24 + -2.5l = 2 + 2.5l + -2.5l

Combine like terms: 2.5l + -2.5l = 0.0
24 + -2.5l = 2 + 0.0
24 + -2.5l = 2

Add '-24' to each side of the equation.
24 + -24 + -2.5l = 2 + -24

Combine like terms: 24 + -24 = 0
0 + -2.5l = 2 + -24
-2.5l = 2 + -24

Combine like terms: 2 + -24 = -22
-2.5l = -22

Divide each side by '-2.5'.
l = 8.8

Simplifying
l = 8.8

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