46=2(L)+2(2L+2)

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Solution for 46=2(L)+2(2L+2) equation:


Simplifying
46 = 2(L) + 2(2L + 2)

Reorder the terms:
46 = 2L + 2(2 + 2L)
46 = 2L + (2 * 2 + 2L * 2)
46 = 2L + (4 + 4L)

Reorder the terms:
46 = 4 + 2L + 4L

Combine like terms: 2L + 4L = 6L
46 = 4 + 6L

Solving
46 = 4 + 6L

Solving for variable 'L'.

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

Add '-6L' to each side of the equation.
46 + -6L = 4 + 6L + -6L

Combine like terms: 6L + -6L = 0
46 + -6L = 4 + 0
46 + -6L = 4

Add '-46' to each side of the equation.
46 + -46 + -6L = 4 + -46

Combine like terms: 46 + -46 = 0
0 + -6L = 4 + -46
-6L = 4 + -46

Combine like terms: 4 + -46 = -42
-6L = -42

Divide each side by '-6'.
L = 7

Simplifying
L = 7

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