3694=2(l(29)+l(13)+(29)(13))

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Solution for 3694=2(l(29)+l(13)+(29)(13)) equation: 


Simplifying
3694 = 2(l(29) + l(13) + (29)(13))

Reorder the terms for easier multiplication:
3694 = 2(29l + l(13) + (29)(13))

Reorder the terms for easier multiplication:
3694 = 2(29l + 13l + (29)(13))

Multiply 29 * 13
3694 = 2(29l + 13l + 377)

Reorder the terms:
3694 = 2(377 + 29l + 13l)

Combine like terms: 29l + 13l = 42l
3694 = 2(377 + 42l)
3694 = (377 * 2 + 42l * 2)
3694 = (754 + 84l)

Solving
3694 = 754 + 84l

Solving for variable 'l'.

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

Add '-84l' to each side of the equation.
3694 + -84l = 754 + 84l + -84l

Combine like terms: 84l + -84l = 0
3694 + -84l = 754 + 0
3694 + -84l = 754

Add '-3694' to each side of the equation.
3694 + -3694 + -84l = 754 + -3694

Combine like terms: 3694 + -3694 = 0
0 + -84l = 754 + -3694
-84l = 754 + -3694

Combine like terms: 754 + -3694 = -2940
-84l = -2940

Divide each side by '-84'.
l = 35

Simplifying
l = 35

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