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

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Solution for 11-5n=-1(1+3n)+2n equation:


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

Combine like terms: -3n + 2n = -1n
11 + -5n = -1 + -1n

Solving
11 + -5n = -1 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
11 + -5n + n = -1 + -1n + n

Combine like terms: -5n + n = -4n
11 + -4n = -1 + -1n + n

Combine like terms: -1n + n = 0
11 + -4n = -1 + 0
11 + -4n = -1

Add '-11' to each side of the equation.
11 + -11 + -4n = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -4n = -1 + -11
-4n = -1 + -11

Combine like terms: -1 + -11 = -12
-4n = -12

Divide each side by '-4'.
n = 3

Simplifying
n = 3

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