11+5n=-2(-n+5)+6(2n+3)

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Solution for 11+5n=-2(-n+5)+6(2n+3) equation: 


Simplifying
11 + 5n = -2(-1n + 5) + 6(2n + 3)

Reorder the terms:
11 + 5n = -2(5 + -1n) + 6(2n + 3)
11 + 5n = (5 * -2 + -1n * -2) + 6(2n + 3)
11 + 5n = (-10 + 2n) + 6(2n + 3)

Reorder the terms:
11 + 5n = -10 + 2n + 6(3 + 2n)
11 + 5n = -10 + 2n + (3 * 6 + 2n * 6)
11 + 5n = -10 + 2n + (18 + 12n)

Reorder the terms:
11 + 5n = -10 + 18 + 2n + 12n

Combine like terms: -10 + 18 = 8
11 + 5n = 8 + 2n + 12n

Combine like terms: 2n + 12n = 14n
11 + 5n = 8 + 14n

Solving
11 + 5n = 8 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
11 + 5n + -14n = 8 + 14n + -14n

Combine like terms: 5n + -14n = -9n
11 + -9n = 8 + 14n + -14n

Combine like terms: 14n + -14n = 0
11 + -9n = 8 + 0
11 + -9n = 8

Add '-11' to each side of the equation.
11 + -11 + -9n = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -9n = 8 + -11
-9n = 8 + -11

Combine like terms: 8 + -11 = -3
-9n = -3

Divide each side by '-9'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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