8n-n+2=3n+n+3

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Solution for 8n-n+2=3n+n+3 equation:


Simplifying
8n + -1n + 2 = 3n + n + 3

Reorder the terms:
2 + 8n + -1n = 3n + n + 3

Combine like terms: 8n + -1n = 7n
2 + 7n = 3n + n + 3

Reorder the terms:
2 + 7n = 3 + 3n + n

Combine like terms: 3n + n = 4n
2 + 7n = 3 + 4n

Solving
2 + 7n = 3 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
2 + 7n + -4n = 3 + 4n + -4n

Combine like terms: 7n + -4n = 3n
2 + 3n = 3 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + 3n = 3 + 0
2 + 3n = 3

Add '-2' to each side of the equation.
2 + -2 + 3n = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 3 + -2
3n = 3 + -2

Combine like terms: 3 + -2 = 1
3n = 1

Divide each side by '3'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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