8n-4(5n-8)=-n-1

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Solution for 8n-4(5n-8)=-n-1 equation: 


Simplifying
8n + -4(5n + -8) = -1n + -1

Reorder the terms:
8n + -4(-8 + 5n) = -1n + -1
8n + (-8 * -4 + 5n * -4) = -1n + -1
8n + (32 + -20n) = -1n + -1

Reorder the terms:
32 + 8n + -20n = -1n + -1

Combine like terms: 8n + -20n = -12n
32 + -12n = -1n + -1

Reorder the terms:
32 + -12n = -1 + -1n

Solving
32 + -12n = -1 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
32 + -12n + n = -1 + -1n + n

Combine like terms: -12n + n = -11n
32 + -11n = -1 + -1n + n

Combine like terms: -1n + n = 0
32 + -11n = -1 + 0
32 + -11n = -1

Add '-32' to each side of the equation.
32 + -32 + -11n = -1 + -32

Combine like terms: 32 + -32 = 0
0 + -11n = -1 + -32
-11n = -1 + -32

Combine like terms: -1 + -32 = -33
-11n = -33

Divide each side by '-11'.
n = 3

Simplifying
n = 3

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