8+3n-6=7n+10-3n

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Solution for 8+3n-6=7n+10-3n equation:


Simplifying
8 + 3n + -6 = 7n + 10 + -3n

Reorder the terms:
8 + -6 + 3n = 7n + 10 + -3n

Combine like terms: 8 + -6 = 2
2 + 3n = 7n + 10 + -3n

Reorder the terms:
2 + 3n = 10 + 7n + -3n

Combine like terms: 7n + -3n = 4n
2 + 3n = 10 + 4n

Solving
2 + 3n = 10 + 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 + 3n + -4n = 10 + 4n + -4n

Combine like terms: 3n + -4n = -1n
2 + -1n = 10 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -1n = 10 + 0
2 + -1n = 10

Add '-2' to each side of the equation.
2 + -2 + -1n = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 10 + -2
-1n = 10 + -2

Combine like terms: 10 + -2 = 8
-1n = 8

Divide each side by '-1'.
n = -8

Simplifying
n = -8

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