2n-5=4n+9

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Solution for 2n-5=4n+9 equation:


Simplifying
2n + -5 = 4n + 9

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

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

Solving
-5 + 2n = 9 + 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.
-5 + 2n + -4n = 9 + 4n + -4n

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

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

Add '5' to each side of the equation.
-5 + 5 + -2n = 9 + 5

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

Combine like terms: 9 + 5 = 14
-2n = 14

Divide each side by '-2'.
n = -7

Simplifying
n = -7

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