((N*3)+2)+(((N*3)+2)+30)=160

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Solution for ((N*3)+2)+(((N*3)+2)+30)=160 equation: 


Simplifying
((N * 3) + 2) + (((N * 3) + 2) + 30) = 160

Reorder the terms for easier multiplication:
((3N) + 2) + (((N * 3) + 2) + 30) = 160

Reorder the terms:
(2 + (3N)) + (((N * 3) + 2) + 30) = 160

Remove parenthesis around (2 + (3N))
2 + (3N) + (((N * 3) + 2) + 30) = 160

Reorder the terms for easier multiplication:
2 + (3N) + (((3N) + 2) + 30) = 160

Reorder the terms:
2 + (3N) + ((2 + (3N)) + 30) = 160

Remove parenthesis around (2 + (3N))
2 + (3N) + (2 + (3N) + 30) = 160

Reorder the terms:
2 + (3N) + (2 + 30 + (3N)) = 160

Combine like terms: 2 + 30 = 32
2 + (3N) + (32 + (3N)) = 160

Remove parenthesis around (32 + (3N))
2 + (3N) + 32 + (3N) = 160

Reorder the terms:
2 + 32 + (3N) + (3N) = 160

Combine like terms: 2 + 32 = 34
34 + (3N) + (3N) = 160

Combine like terms: (3N) + (3N) = 6N
34 + 6N = 160

Solving
34 + 6N = 160

Solving for variable 'N'.

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

Add '-34' to each side of the equation.
34 + -34 + 6N = 160 + -34

Combine like terms: 34 + -34 = 0
0 + 6N = 160 + -34
6N = 160 + -34

Combine like terms: 160 + -34 = 126
6N = 126

Divide each side by '6'.
N = 21

Simplifying
N = 21

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