11-2(n-1)=3(n+13)

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Solution for 11-2(n-1)=3(n+13) equation: 


Simplifying
11 + -2(n + -1) = 3(n + 13)

Reorder the terms:
11 + -2(-1 + n) = 3(n + 13)
11 + (-1 * -2 + n * -2) = 3(n + 13)
11 + (2 + -2n) = 3(n + 13)

Combine like terms: 11 + 2 = 13
13 + -2n = 3(n + 13)

Reorder the terms:
13 + -2n = 3(13 + n)
13 + -2n = (13 * 3 + n * 3)
13 + -2n = (39 + 3n)

Solving
13 + -2n = 39 + 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.
13 + -2n + -3n = 39 + 3n + -3n

Combine like terms: -2n + -3n = -5n
13 + -5n = 39 + 3n + -3n

Combine like terms: 3n + -3n = 0
13 + -5n = 39 + 0
13 + -5n = 39

Add '-13' to each side of the equation.
13 + -13 + -5n = 39 + -13

Combine like terms: 13 + -13 = 0
0 + -5n = 39 + -13
-5n = 39 + -13

Combine like terms: 39 + -13 = 26
-5n = 26

Divide each side by '-5'.
n = -5.2

Simplifying
n = -5.2

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