8n-5-2n+7=3n-4+2n+9

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Solution for 8n-5-2n+7=3n-4+2n+9 equation:


Simplifying
8n + -5 + -2n + 7 = 3n + -4 + 2n + 9

Reorder the terms:
-5 + 7 + 8n + -2n = 3n + -4 + 2n + 9

Combine like terms: -5 + 7 = 2
2 + 8n + -2n = 3n + -4 + 2n + 9

Combine like terms: 8n + -2n = 6n
2 + 6n = 3n + -4 + 2n + 9

Reorder the terms:
2 + 6n = -4 + 9 + 3n + 2n

Combine like terms: -4 + 9 = 5
2 + 6n = 5 + 3n + 2n

Combine like terms: 3n + 2n = 5n
2 + 6n = 5 + 5n

Solving
2 + 6n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 6n + -5n = 5 + 5n + -5n

Combine like terms: 6n + -5n = 1n
2 + 1n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + 1n = 5 + 0
2 + 1n = 5

Add '-2' to each side of the equation.
2 + -2 + 1n = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 5 + -2
1n = 5 + -2

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

Divide each side by '1'.
n = 3

Simplifying
n = 3

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