8(n+8)=19-n

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Solution for 8(n+8)=19-n equation:


Simplifying
8(n + 8) = 19 + -1n

Reorder the terms:
8(8 + n) = 19 + -1n
(8 * 8 + n * 8) = 19 + -1n
(64 + 8n) = 19 + -1n

Solving
64 + 8n = 19 + -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.
64 + 8n + n = 19 + -1n + n

Combine like terms: 8n + n = 9n
64 + 9n = 19 + -1n + n

Combine like terms: -1n + n = 0
64 + 9n = 19 + 0
64 + 9n = 19

Add '-64' to each side of the equation.
64 + -64 + 9n = 19 + -64

Combine like terms: 64 + -64 = 0
0 + 9n = 19 + -64
9n = 19 + -64

Combine like terms: 19 + -64 = -45
9n = -45

Divide each side by '9'.
n = -5

Simplifying
n = -5

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