3n-4+2n+1=9+2n+3

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Solution for 3n-4+2n+1=9+2n+3 equation:


Simplifying
3n + -4 + 2n + 1 = 9 + 2n + 3

Reorder the terms:
-4 + 1 + 3n + 2n = 9 + 2n + 3

Combine like terms: -4 + 1 = -3
-3 + 3n + 2n = 9 + 2n + 3

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

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

Combine like terms: 9 + 3 = 12
-3 + 5n = 12 + 2n

Solving
-3 + 5n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-3 + 5n + -2n = 12 + 2n + -2n

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

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

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

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

Combine like terms: 12 + 3 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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