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

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


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

Reorder the terms:
11 + -5n = -1 + 2 + -3n

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

Solving
11 + -5n = 1 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
11 + -5n + 3n = 1 + -3n + 3n

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

Combine like terms: -3n + 3n = 0
11 + -2n = 1 + 0
11 + -2n = 1

Add '-11' to each side of the equation.
11 + -11 + -2n = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -2n = 1 + -11
-2n = 1 + -11

Combine like terms: 1 + -11 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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