4n+5=2n-9

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


Simplifying
4n + 5 = 2n + -9

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

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

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

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

Combine like terms: 2n + -2n = 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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