21.46-(3+1.5*L)*(0.000033)*900=2.7L

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Solution for 21.46-(3+1.5*L)*(0.000033)*900=2.7L equation: 


Simplifying
21.46 + -1(3 + 1.5L)(0.000033) * 900 = 2.7L

Reorder the terms for easier multiplication:
21.46 + -1 * 0.000033 * 900(3 + 1.5L) = 2.7L

Multiply -1 * 0.000033
21.46 + -0.000033 * 900(3 + 1.5L) = 2.7L

Multiply -0.000033 * 900
21.46 + -0.0297(3 + 1.5L) = 2.7L
21.46 + (3 * -0.0297 + 1.5L * -0.0297) = 2.7L
21.46 + (-0.0891 + -0.04455L) = 2.7L

Combine like terms: 21.46 + -0.0891 = 21.3709
21.3709 + -0.04455L = 2.7L

Solving
21.3709 + -0.04455L = 2.7L

Solving for variable 'L'.

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

Add '-2.7L' to each side of the equation.
21.3709 + -0.04455L + -2.7L = 2.7L + -2.7L

Combine like terms: -0.04455L + -2.7L = -2.74455L
21.3709 + -2.74455L = 2.7L + -2.7L

Combine like terms: 2.7L + -2.7L = 0.0
21.3709 + -2.74455L = 0.0

Add '-21.3709' to each side of the equation.
21.3709 + -21.3709 + -2.74455L = 0.0 + -21.3709

Combine like terms: 21.3709 + -21.3709 = 0.0000
0.0000 + -2.74455L = 0.0 + -21.3709
-2.74455L = 0.0 + -21.3709

Combine like terms: 0.0 + -21.3709 = -21.3709
-2.74455L = -21.3709

Divide each side by '-2.74455'.
L = 7.786668124

Simplifying
L = 7.786668124

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