11+5n=-2n+4(n+2)

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


Simplifying
11 + 5n = -2n + 4(n + 2)

Reorder the terms:
11 + 5n = -2n + 4(2 + n)
11 + 5n = -2n + (2 * 4 + n * 4)
11 + 5n = -2n + (8 + 4n)

Reorder the terms:
11 + 5n = 8 + -2n + 4n

Combine like terms: -2n + 4n = 2n
11 + 5n = 8 + 2n

Solving
11 + 5n = 8 + 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.
11 + 5n + -2n = 8 + 2n + -2n

Combine like terms: 5n + -2n = 3n
11 + 3n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
11 + 3n = 8 + 0
11 + 3n = 8

Add '-11' to each side of the equation.
11 + -11 + 3n = 8 + -11

Combine like terms: 11 + -11 = 0
0 + 3n = 8 + -11
3n = 8 + -11

Combine like terms: 8 + -11 = -3
3n = -3

Divide each side by '3'.
n = -1

Simplifying
n = -1

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