3+8n-1=5n+12-2n

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Solution for 3+8n-1=5n+12-2n equation: 


Simplifying
3 + 8n + -1 = 5n + 12 + -2n

Reorder the terms:
3 + -1 + 8n = 5n + 12 + -2n

Combine like terms: 3 + -1 = 2
2 + 8n = 5n + 12 + -2n

Reorder the terms:
2 + 8n = 12 + 5n + -2n

Combine like terms: 5n + -2n = 3n
2 + 8n = 12 + 3n

Solving
2 + 8n = 12 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2 + 8n + -3n = 12 + 3n + -3n

Combine like terms: 8n + -3n = 5n
2 + 5n = 12 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 5n = 12 + 0
2 + 5n = 12

Add '-2' to each side of the equation.
2 + -2 + 5n = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5n = 12 + -2
5n = 12 + -2

Combine like terms: 12 + -2 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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