(11n-5)-(3n-2)=-19

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Solution for (11n-5)-(3n-2)=-19 equation:


Simplifying
(11n + -5) + -1(3n + -2) = -19

Reorder the terms:
(-5 + 11n) + -1(3n + -2) = -19

Remove parenthesis around (-5 + 11n)
-5 + 11n + -1(3n + -2) = -19

Reorder the terms:
-5 + 11n + -1(-2 + 3n) = -19
-5 + 11n + (-2 * -1 + 3n * -1) = -19
-5 + 11n + (2 + -3n) = -19

Reorder the terms:
-5 + 2 + 11n + -3n = -19

Combine like terms: -5 + 2 = -3
-3 + 11n + -3n = -19

Combine like terms: 11n + -3n = 8n
-3 + 8n = -19

Solving
-3 + 8n = -19

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 8n = -19 + 3

Combine like terms: -3 + 3 = 0
0 + 8n = -19 + 3
8n = -19 + 3

Combine like terms: -19 + 3 = -16
8n = -16

Divide each side by '8'.
n = -2

Simplifying
n = -2

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