2n+3=9-4n+6

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Solution for 2n+3=9-4n+6 equation:


Simplifying
2n + 3 = 9 + -4n + 6

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

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

Combine like terms: 9 + 6 = 15
3 + 2n = 15 + -4n

Solving
3 + 2n = 15 + -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.
3 + 2n + 4n = 15 + -4n + 4n

Combine like terms: 2n + 4n = 6n
3 + 6n = 15 + -4n + 4n

Combine like terms: -4n + 4n = 0
3 + 6n = 15 + 0
3 + 6n = 15

Add '-3' to each side of the equation.
3 + -3 + 6n = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 6n = 15 + -3
6n = 15 + -3

Combine like terms: 15 + -3 = 12
6n = 12

Divide each side by '6'.
n = 2

Simplifying
n = 2

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