-5(n-5)-1=-5n-(2n+6)

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Solution for -5(n-5)-1=-5n-(2n+6) equation:


Simplifying
-5(n + -5) + -1 = -5n + -1(2n + 6)

Reorder the terms:
-5(-5 + n) + -1 = -5n + -1(2n + 6)
(-5 * -5 + n * -5) + -1 = -5n + -1(2n + 6)
(25 + -5n) + -1 = -5n + -1(2n + 6)

Reorder the terms:
25 + -1 + -5n = -5n + -1(2n + 6)

Combine like terms: 25 + -1 = 24
24 + -5n = -5n + -1(2n + 6)

Reorder the terms:
24 + -5n = -5n + -1(6 + 2n)
24 + -5n = -5n + (6 * -1 + 2n * -1)
24 + -5n = -5n + (-6 + -2n)

Reorder the terms:
24 + -5n = -6 + -5n + -2n

Combine like terms: -5n + -2n = -7n
24 + -5n = -6 + -7n

Solving
24 + -5n = -6 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
24 + -5n + 7n = -6 + -7n + 7n

Combine like terms: -5n + 7n = 2n
24 + 2n = -6 + -7n + 7n

Combine like terms: -7n + 7n = 0
24 + 2n = -6 + 0
24 + 2n = -6

Add '-24' to each side of the equation.
24 + -24 + 2n = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 2n = -6 + -24
2n = -6 + -24

Combine like terms: -6 + -24 = -30
2n = -30

Divide each side by '2'.
n = -15

Simplifying
n = -15

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