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

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Solution for 5n+7+2(2n+1)=3n-2+n equation: 


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

Reorder the terms:
5n + 7 + 2(1 + 2n) = 3n + -2 + n
5n + 7 + (1 * 2 + 2n * 2) = 3n + -2 + n
5n + 7 + (2 + 4n) = 3n + -2 + n

Reorder the terms:
7 + 2 + 5n + 4n = 3n + -2 + n

Combine like terms: 7 + 2 = 9
9 + 5n + 4n = 3n + -2 + n

Combine like terms: 5n + 4n = 9n
9 + 9n = 3n + -2 + n

Reorder the terms:
9 + 9n = -2 + 3n + n

Combine like terms: 3n + n = 4n
9 + 9n = -2 + 4n

Solving
9 + 9n = -2 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
9 + 9n + -4n = -2 + 4n + -4n

Combine like terms: 9n + -4n = 5n
9 + 5n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
9 + 5n = -2 + 0
9 + 5n = -2

Add '-9' to each side of the equation.
9 + -9 + 5n = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 5n = -2 + -9
5n = -2 + -9

Combine like terms: -2 + -9 = -11
5n = -11

Divide each side by '5'.
n = -2.2

Simplifying
n = -2.2

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