n+(n+7)=17-2n

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Solution for n+(n+7)=17-2n equation:


Simplifying
n + (n + 7) = 17 + -2n

Reorder the terms:
n + (7 + n) = 17 + -2n

Remove parenthesis around (7 + n)
n + 7 + n = 17 + -2n

Reorder the terms:
7 + n + n = 17 + -2n

Combine like terms: n + n = 2n
7 + 2n = 17 + -2n

Solving
7 + 2n = 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.
7 + 2n + 2n = 17 + -2n + 2n

Combine like terms: 2n + 2n = 4n
7 + 4n = 17 + -2n + 2n

Combine like terms: -2n + 2n = 0
7 + 4n = 17 + 0
7 + 4n = 17

Add '-7' to each side of the equation.
7 + -7 + 4n = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 4n = 17 + -7
4n = 17 + -7

Combine like terms: 17 + -7 = 10
4n = 10

Divide each side by '4'.
n = 2.5

Simplifying
n = 2.5

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