N-2-8-8n=-3(n+9)-7(1+4n)

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Solution for N-2-8-8n=-3(n+9)-7(1+4n) equation:


Simplifying
N + -2 + -8 + -8n = -3(n + 9) + -7(1 + 4n)

Reorder the terms:
-2 + -8 + N + -8n = -3(n + 9) + -7(1 + 4n)

Combine like terms: -2 + -8 = -10
-10 + N + -8n = -3(n + 9) + -7(1 + 4n)

Reorder the terms:
-10 + N + -8n = -3(9 + n) + -7(1 + 4n)
-10 + N + -8n = (9 * -3 + n * -3) + -7(1 + 4n)
-10 + N + -8n = (-27 + -3n) + -7(1 + 4n)
-10 + N + -8n = -27 + -3n + (1 * -7 + 4n * -7)
-10 + N + -8n = -27 + -3n + (-7 + -28n)

Reorder the terms:
-10 + N + -8n = -27 + -7 + -3n + -28n

Combine like terms: -27 + -7 = -34
-10 + N + -8n = -34 + -3n + -28n

Combine like terms: -3n + -28n = -31n
-10 + N + -8n = -34 + -31n

Solving
-10 + N + -8n = -34 + -31n

Solving for variable 'N'.

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

Add '10' to each side of the equation.
-10 + N + 10 + -8n = -34 + 10 + -31n

Reorder the terms:
-10 + 10 + N + -8n = -34 + 10 + -31n

Combine like terms: -10 + 10 = 0
0 + N + -8n = -34 + 10 + -31n
N + -8n = -34 + 10 + -31n

Combine like terms: -34 + 10 = -24
N + -8n = -24 + -31n

Add '8n' to each side of the equation.
N + -8n + 8n = -24 + -31n + 8n

Combine like terms: -8n + 8n = 0
N + 0 = -24 + -31n + 8n
N = -24 + -31n + 8n

Combine like terms: -31n + 8n = -23n
N = -24 + -23n

Simplifying
N = -24 + -23n

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