1285.2=L(1-.40)(1-.15)(1-.1)

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Solution for 1285.2=L(1-.40)(1-.15)(1-.1) equation: 


Simplifying
1285.2 = L(1 + -0.40)(1 + -0.15)(1 + -0.1)

Combine like terms: 1 + -0.40 = 0.6
1285.2 = L(0.6)(1 + -0.15)(1 + -0.1)

Combine like terms: 1 + -0.15 = 0.85
1285.2 = L * 0.6(0.85)(1 + -0.1)

Combine like terms: 1 + -0.1 = 0.9
1285.2 = L * 0.6 * 0.85(0.9)

Reorder the terms for easier multiplication:
1285.2 = 0.6 * 0.85 * 0.9L

Multiply 0.6 * 0.85
1285.2 = 0.51 * 0.9L

Multiply 0.51 * 0.9
1285.2 = 0.459L

Solving
1285.2 = 0.459L

Solving for variable 'L'.

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

Add '-0.459L' to each side of the equation.
1285.2 + -0.459L = 0.459L + -0.459L

Combine like terms: 0.459L + -0.459L = 0.000
1285.2 + -0.459L = 0.000

Add '-1285.2' to each side of the equation.
1285.2 + -1285.2 + -0.459L = 0.000 + -1285.2

Combine like terms: 1285.2 + -1285.2 = 0.0
0.0 + -0.459L = 0.000 + -1285.2
-0.459L = 0.000 + -1285.2

Combine like terms: 0.000 + -1285.2 = -1285.2
-0.459L = -1285.2

Divide each side by '-0.459'.
L = 2800

Simplifying
L = 2800

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