n-8=(-5)(n-3)

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Solution for n-8=(-5)(n-3) equation:


Simplifying
n + -8 = (-5)(n + -3)

Reorder the terms:
-8 + n = (-5)(n + -3)

Reorder the terms:
-8 + n = -5(-3 + n)
-8 + n = (-3 * -5 + n * -5)
-8 + n = (15 + -5n)

Solving
-8 + n = 15 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-8 + n + 5n = 15 + -5n + 5n

Combine like terms: n + 5n = 6n
-8 + 6n = 15 + -5n + 5n

Combine like terms: -5n + 5n = 0
-8 + 6n = 15 + 0
-8 + 6n = 15

Add '8' to each side of the equation.
-8 + 8 + 6n = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 6n = 15 + 8
6n = 15 + 8

Combine like terms: 15 + 8 = 23
6n = 23

Divide each side by '6'.
n = 3.833333333

Simplifying
n = 3.833333333

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