6(n-2)+4(n-8)=36

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Solution for 6(n-2)+4(n-8)=36 equation: 


Simplifying
6(n + -2) + 4(n + -8) = 36

Reorder the terms:
6(-2 + n) + 4(n + -8) = 36
(-2 * 6 + n * 6) + 4(n + -8) = 36
(-12 + 6n) + 4(n + -8) = 36

Reorder the terms:
-12 + 6n + 4(-8 + n) = 36
-12 + 6n + (-8 * 4 + n * 4) = 36
-12 + 6n + (-32 + 4n) = 36

Reorder the terms:
-12 + -32 + 6n + 4n = 36

Combine like terms: -12 + -32 = -44
-44 + 6n + 4n = 36

Combine like terms: 6n + 4n = 10n
-44 + 10n = 36

Solving
-44 + 10n = 36

Solving for variable 'n'.

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

Add '44' to each side of the equation.
-44 + 44 + 10n = 36 + 44

Combine like terms: -44 + 44 = 0
0 + 10n = 36 + 44
10n = 36 + 44

Combine like terms: 36 + 44 = 80
10n = 80

Divide each side by '10'.
n = 8

Simplifying
n = 8

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