10-(n+5)=3n+7-2n

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Solution for 10-(n+5)=3n+7-2n equation: 


Simplifying
10 + -1(n + 5) = 3n + 7 + -2n

Reorder the terms:
10 + -1(5 + n) = 3n + 7 + -2n
10 + (5 * -1 + n * -1) = 3n + 7 + -2n
10 + (-5 + -1n) = 3n + 7 + -2n

Combine like terms: 10 + -5 = 5
5 + -1n = 3n + 7 + -2n

Reorder the terms:
5 + -1n = 7 + 3n + -2n

Combine like terms: 3n + -2n = 1n
5 + -1n = 7 + 1n

Solving
5 + -1n = 7 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
5 + -1n + -1n = 7 + 1n + -1n

Combine like terms: -1n + -1n = -2n
5 + -2n = 7 + 1n + -1n

Combine like terms: 1n + -1n = 0
5 + -2n = 7 + 0
5 + -2n = 7

Add '-5' to each side of the equation.
5 + -5 + -2n = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = 7 + -5
-2n = 7 + -5

Combine like terms: 7 + -5 = 2
-2n = 2

Divide each side by '-2'.
n = -1

Simplifying
n = -1

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