3+6*8=3n+9+n-2

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Solution for 3+6*8=3n+9+n-2 equation: 


Simplifying
3 + 6 * 8 = 3n + 9 + n + -2

Multiply 6 * 8
3 + 48 = 3n + 9 + n + -2

Combine like terms: 3 + 48 = 51
51 = 3n + 9 + n + -2

Reorder the terms:
51 = 9 + -2 + 3n + n

Combine like terms: 9 + -2 = 7
51 = 7 + 3n + n

Combine like terms: 3n + n = 4n
51 = 7 + 4n

Solving
51 = 7 + 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.
51 + -4n = 7 + 4n + -4n

Combine like terms: 4n + -4n = 0
51 + -4n = 7 + 0
51 + -4n = 7

Add '-51' to each side of the equation.
51 + -51 + -4n = 7 + -51

Combine like terms: 51 + -51 = 0
0 + -4n = 7 + -51
-4n = 7 + -51

Combine like terms: 7 + -51 = -44
-4n = -44

Divide each side by '-4'.
n = 11

Simplifying
n = 11

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