-4n+35=-5n-8(n-1)

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Solution for -4n+35=-5n-8(n-1) equation:


Simplifying
-4n + 35 = -5n + -8(n + -1)

Reorder the terms:
35 + -4n = -5n + -8(n + -1)

Reorder the terms:
35 + -4n = -5n + -8(-1 + n)
35 + -4n = -5n + (-1 * -8 + n * -8)
35 + -4n = -5n + (8 + -8n)

Reorder the terms:
35 + -4n = 8 + -5n + -8n

Combine like terms: -5n + -8n = -13n
35 + -4n = 8 + -13n

Solving
35 + -4n = 8 + -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.
35 + -4n + 13n = 8 + -13n + 13n

Combine like terms: -4n + 13n = 9n
35 + 9n = 8 + -13n + 13n

Combine like terms: -13n + 13n = 0
35 + 9n = 8 + 0
35 + 9n = 8

Add '-35' to each side of the equation.
35 + -35 + 9n = 8 + -35

Combine like terms: 35 + -35 = 0
0 + 9n = 8 + -35
9n = 8 + -35

Combine like terms: 8 + -35 = -27
9n = -27

Divide each side by '9'.
n = -3

Simplifying
n = -3

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