(5+n)(-8)=9+(2+-n)

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Solution for (5+n)(-8)=9+(2+-n) equation:


Simplifying
(5 + n)(-8) = 9 + (2 + -1n)

Reorder the terms for easier multiplication:
-8(5 + n) = 9 + (2 + -1n)
(5 * -8 + n * -8) = 9 + (2 + -1n)
(-40 + -8n) = 9 + (2 + -1n)

Remove parenthesis around (2 + -1n)
-40 + -8n = 9 + 2 + -1n

Combine like terms: 9 + 2 = 11
-40 + -8n = 11 + -1n

Solving
-40 + -8n = 11 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-40 + -8n + n = 11 + -1n + n

Combine like terms: -8n + n = -7n
-40 + -7n = 11 + -1n + n

Combine like terms: -1n + n = 0
-40 + -7n = 11 + 0
-40 + -7n = 11

Add '40' to each side of the equation.
-40 + 40 + -7n = 11 + 40

Combine like terms: -40 + 40 = 0
0 + -7n = 11 + 40
-7n = 11 + 40

Combine like terms: 11 + 40 = 51
-7n = 51

Divide each side by '-7'.
n = -7.285714286

Simplifying
n = -7.285714286

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