3n+4+5n=4n-9

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Solution for 3n+4+5n=4n-9 equation:


Simplifying
3n + 4 + 5n = 4n + -9

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

Combine like terms: 3n + 5n = 8n
4 + 8n = 4n + -9

Reorder the terms:
4 + 8n = -9 + 4n

Solving
4 + 8n = -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.
4 + 8n + -4n = -9 + 4n + -4n

Combine like terms: 8n + -4n = 4n
4 + 4n = -9 + 4n + -4n

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

Add '-4' to each side of the equation.
4 + -4 + 4n = -9 + -4

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

Combine like terms: -9 + -4 = -13
4n = -13

Divide each side by '4'.
n = -3.25

Simplifying
n = -3.25

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