(n-8)+(n)+4(n-8)=26

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Solution for (n-8)+(n)+4(n-8)=26 equation: 


Simplifying
(n + -8) + (n) + 4(n + -8) = 26

Reorder the terms:
(-8 + n) + (n) + 4(n + -8) = 26

Remove parenthesis around (-8 + n)
-8 + n + (n) + 4(n + -8) = 26
-8 + n + n + 4(n + -8) = 26

Reorder the terms:
-8 + n + n + 4(-8 + n) = 26
-8 + n + n + (-8 * 4 + n * 4) = 26
-8 + n + n + (-32 + 4n) = 26

Reorder the terms:
-8 + -32 + n + n + 4n = 26

Combine like terms: -8 + -32 = -40
-40 + n + n + 4n = 26

Combine like terms: n + n = 2n
-40 + 2n + 4n = 26

Combine like terms: 2n + 4n = 6n
-40 + 6n = 26

Solving
-40 + 6n = 26

Solving for variable 'n'.

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

Add '40' to each side of the equation.
-40 + 40 + 6n = 26 + 40

Combine like terms: -40 + 40 = 0
0 + 6n = 26 + 40
6n = 26 + 40

Combine like terms: 26 + 40 = 66
6n = 66

Divide each side by '6'.
n = 11

Simplifying
n = 11

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