7N+8N=-11(4+11N)+12(9N+6)

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Solution for 7N+8N=-11(4+11N)+12(9N+6) equation: 


Simplifying
7N + 8N = -11(4 + 11N) + 12(9N + 6)

Combine like terms: 7N + 8N = 15N
15N = -11(4 + 11N) + 12(9N + 6)
15N = (4 * -11 + 11N * -11) + 12(9N + 6)
15N = (-44 + -121N) + 12(9N + 6)

Reorder the terms:
15N = -44 + -121N + 12(6 + 9N)
15N = -44 + -121N + (6 * 12 + 9N * 12)
15N = -44 + -121N + (72 + 108N)

Reorder the terms:
15N = -44 + 72 + -121N + 108N

Combine like terms: -44 + 72 = 28
15N = 28 + -121N + 108N

Combine like terms: -121N + 108N = -13N
15N = 28 + -13N

Solving
15N = 28 + -13N

Solving for variable 'N'.

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

Add '13N' to each side of the equation.
15N + 13N = 28 + -13N + 13N

Combine like terms: 15N + 13N = 28N
28N = 28 + -13N + 13N

Combine like terms: -13N + 13N = 0
28N = 28 + 0
28N = 28

Divide each side by '28'.
N = 1

Simplifying
N = 1

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