(2n+5)-(3n+7)+(4n-9)=

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Solution for (2n+5)-(3n+7)+(4n-9)= equation:


Simplifying
(2n + 5) + -1(3n + 7) + (4n + -9) = 0

Reorder the terms:
(5 + 2n) + -1(3n + 7) + (4n + -9) = 0

Remove parenthesis around (5 + 2n)
5 + 2n + -1(3n + 7) + (4n + -9) = 0

Reorder the terms:
5 + 2n + -1(7 + 3n) + (4n + -9) = 0
5 + 2n + (7 * -1 + 3n * -1) + (4n + -9) = 0
5 + 2n + (-7 + -3n) + (4n + -9) = 0

Reorder the terms:
5 + 2n + -7 + -3n + (-9 + 4n) = 0

Remove parenthesis around (-9 + 4n)
5 + 2n + -7 + -3n + -9 + 4n = 0

Reorder the terms:
5 + -7 + -9 + 2n + -3n + 4n = 0

Combine like terms: 5 + -7 = -2
-2 + -9 + 2n + -3n + 4n = 0

Combine like terms: -2 + -9 = -11
-11 + 2n + -3n + 4n = 0

Combine like terms: 2n + -3n = -1n
-11 + -1n + 4n = 0

Combine like terms: -1n + 4n = 3n
-11 + 3n = 0

Solving
-11 + 3n = 0

Solving for variable 'n'.

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

Add '11' to each side of the equation.
-11 + 11 + 3n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3n = 0 + 11
3n = 0 + 11

Combine like terms: 0 + 11 = 11
3n = 11

Divide each side by '3'.
n = 3.666666667

Simplifying
n = 3.666666667

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