3n+4=19-2n

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Solution for 3n+4=19-2n equation:


Simplifying
3n + 4 = 19 + -2n

Reorder the terms:
4 + 3n = 19 + -2n

Solving
4 + 3n = 19 + -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.
4 + 3n + 2n = 19 + -2n + 2n

Combine like terms: 3n + 2n = 5n
4 + 5n = 19 + -2n + 2n

Combine like terms: -2n + 2n = 0
4 + 5n = 19 + 0
4 + 5n = 19

Add '-4' to each side of the equation.
4 + -4 + 5n = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 5n = 19 + -4
5n = 19 + -4

Combine like terms: 19 + -4 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3

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