4n+5=17-2n

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Solution for 4n+5=17-2n equation:


Simplifying
4n + 5 = 17 + -2n

Reorder the terms:
5 + 4n = 17 + -2n

Solving
5 + 4n = 17 + -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 = 17 + -2n + 2n

Combine like terms: 4n + 2n = 6n
5 + 6n = 17 + -2n + 2n

Combine like terms: -2n + 2n = 0
5 + 6n = 17 + 0
5 + 6n = 17

Add '-5' to each side of the equation.
5 + -5 + 6n = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 6n = 17 + -5
6n = 17 + -5

Combine like terms: 17 + -5 = 12
6n = 12

Divide each side by '6'.
n = 2

Simplifying
n = 2

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