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

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


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

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

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

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

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

Solving
2 + 7n = 8 + 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 = 8 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
2 + 3n = 8 + 0
2 + 3n = 8

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

Combine like terms: 2 + -2 = 0
0 + 3n = 8 + -2
3n = 8 + -2

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

Divide each side by '3'.
n = 2

Simplifying
n = 2

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