2(u+2(1+u))=16

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Solution for 2(u+2(1+u))=16 equation:


Simplifying
2(u + 2(1 + u)) = 16
2(u + (1 * 2 + u * 2)) = 16
2(u + (2 + 2u)) = 16

Reorder the terms:
2(2 + u + 2u) = 16

Combine like terms: u + 2u = 3u
2(2 + 3u) = 16
(2 * 2 + 3u * 2) = 16
(4 + 6u) = 16

Solving
4 + 6u = 16

Solving for variable 'u'.

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

Add '-4' to each side of the equation.
4 + -4 + 6u = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 6u = 16 + -4
6u = 16 + -4

Combine like terms: 16 + -4 = 12
6u = 12

Divide each side by '6'.
u = 2

Simplifying
u = 2

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