-4(n-4)-(8n-1)=-13n

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Solution for -4(n-4)-(8n-1)=-13n equation:


Simplifying
-4(n + -4) + -1(8n + -1) = -13n

Reorder the terms:
-4(-4 + n) + -1(8n + -1) = -13n
(-4 * -4 + n * -4) + -1(8n + -1) = -13n
(16 + -4n) + -1(8n + -1) = -13n

Reorder the terms:
16 + -4n + -1(-1 + 8n) = -13n
16 + -4n + (-1 * -1 + 8n * -1) = -13n
16 + -4n + (1 + -8n) = -13n

Reorder the terms:
16 + 1 + -4n + -8n = -13n

Combine like terms: 16 + 1 = 17
17 + -4n + -8n = -13n

Combine like terms: -4n + -8n = -12n
17 + -12n = -13n

Solving
17 + -12n = -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
17 + -12n + 13n = -13n + 13n

Combine like terms: -12n + 13n = 1n
17 + 1n = -13n + 13n

Combine like terms: -13n + 13n = 0
17 + 1n = 0

Add '-17' to each side of the equation.
17 + -17 + 1n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 0 + -17
1n = 0 + -17

Combine like terms: 0 + -17 = -17
1n = -17

Divide each side by '1'.
n = -17

Simplifying
n = -17

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