2+n+5(3n+5)=7n+11+4n

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Solution for 2+n+5(3n+5)=7n+11+4n equation:


Simplifying
2 + n + 5(3n + 5) = 7n + 11 + 4n

Reorder the terms:
2 + n + 5(5 + 3n) = 7n + 11 + 4n
2 + n + (5 * 5 + 3n * 5) = 7n + 11 + 4n
2 + n + (25 + 15n) = 7n + 11 + 4n

Reorder the terms:
2 + 25 + n + 15n = 7n + 11 + 4n

Combine like terms: 2 + 25 = 27
27 + n + 15n = 7n + 11 + 4n

Combine like terms: n + 15n = 16n
27 + 16n = 7n + 11 + 4n

Reorder the terms:
27 + 16n = 11 + 7n + 4n

Combine like terms: 7n + 4n = 11n
27 + 16n = 11 + 11n

Solving
27 + 16n = 11 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
27 + 16n + -11n = 11 + 11n + -11n

Combine like terms: 16n + -11n = 5n
27 + 5n = 11 + 11n + -11n

Combine like terms: 11n + -11n = 0
27 + 5n = 11 + 0
27 + 5n = 11

Add '-27' to each side of the equation.
27 + -27 + 5n = 11 + -27

Combine like terms: 27 + -27 = 0
0 + 5n = 11 + -27
5n = 11 + -27

Combine like terms: 11 + -27 = -16
5n = -16

Divide each side by '5'.
n = -3.2

Simplifying
n = -3.2

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