# (6n+3)5+2(3+5+N)=

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## Solution for (6n+3)5+2(3+5+N)= equation:

Simplifying
(6n + 3) * 5 + 2(3 + 5 + N) = 0

Reorder the terms:
(3 + 6n) * 5 + 2(3 + 5 + N) = 0

Reorder the terms for easier multiplication:
5(3 + 6n) + 2(3 + 5 + N) = 0
(3 * 5 + 6n * 5) + 2(3 + 5 + N) = 0
(15 + 30n) + 2(3 + 5 + N) = 0

Combine like terms: 3 + 5 = 8
15 + 30n + 2(8 + N) = 0
15 + 30n + (8 * 2 + N * 2) = 0
15 + 30n + (16 + 2N) = 0

Reorder the terms:
15 + 16 + 2N + 30n = 0

Combine like terms: 15 + 16 = 31
31 + 2N + 30n = 0

Solving
31 + 2N + 30n = 0

Solving for variable 'N'.

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

Add '-31' to each side of the equation.
31 + 2N + -31 + 30n = 0 + -31

Reorder the terms:
31 + -31 + 2N + 30n = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 2N + 30n = 0 + -31
2N + 30n = 0 + -31

Combine like terms: 0 + -31 = -31
2N + 30n = -31

Add '-30n' to each side of the equation.
2N + 30n + -30n = -31 + -30n

Combine like terms: 30n + -30n = 0
2N + 0 = -31 + -30n
2N = -31 + -30n

Divide each side by '2'.
N = -15.5 + -15n

Simplifying
N = -15.5 + -15n`