48.6(l)=13.5(l+100)

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Solution for 48.6(l)=13.5(l+100) equation: 


Simplifying
48.6(l) = 13.5(l + 100)

Reorder the terms:
48.6l = 13.5(100 + l)
48.6l = (100 * 13.5 + l * 13.5)
48.6l = (1350 + 13.5l)

Solving
48.6l = 1350 + 13.5l

Solving for variable 'l'.

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

Add '-13.5l' to each side of the equation.
48.6l + -13.5l = 1350 + 13.5l + -13.5l

Combine like terms: 48.6l + -13.5l = 35.1l
35.1l = 1350 + 13.5l + -13.5l

Combine like terms: 13.5l + -13.5l = 0.0
35.1l = 1350 + 0.0
35.1l = 1350

Divide each side by '35.1'.
l = 38.46153846

Simplifying
l = 38.46153846

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