5(5-4n)-(n-1)=-58

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Solution for 5(5-4n)-(n-1)=-58 equation: 


Simplifying
5(5 + -4n) + -1(n + -1) = -58
(5 * 5 + -4n * 5) + -1(n + -1) = -58
(25 + -20n) + -1(n + -1) = -58

Reorder the terms:
25 + -20n + -1(-1 + n) = -58
25 + -20n + (-1 * -1 + n * -1) = -58
25 + -20n + (1 + -1n) = -58

Reorder the terms:
25 + 1 + -20n + -1n = -58

Combine like terms: 25 + 1 = 26
26 + -20n + -1n = -58

Combine like terms: -20n + -1n = -21n
26 + -21n = -58

Solving
26 + -21n = -58

Solving for variable 'n'.

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

Add '-26' to each side of the equation.
26 + -26 + -21n = -58 + -26

Combine like terms: 26 + -26 = 0
0 + -21n = -58 + -26
-21n = -58 + -26

Combine like terms: -58 + -26 = -84
-21n = -84

Divide each side by '-21'.
n = 4

Simplifying
n = 4

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