2n+3n+4n=5n-18

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Solution for 2n+3n+4n=5n-18 equation:


Simplifying
2n + 3n + 4n = 5n + -18

Combine like terms: 2n + 3n = 5n
5n + 4n = 5n + -18

Combine like terms: 5n + 4n = 9n
9n = 5n + -18

Reorder the terms:
9n = -18 + 5n

Solving
9n = -18 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
9n + -5n = -18 + 5n + -5n

Combine like terms: 9n + -5n = 4n
4n = -18 + 5n + -5n

Combine like terms: 5n + -5n = 0
4n = -18 + 0
4n = -18

Divide each side by '4'.
n = -4.5

Simplifying
n = -4.5

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