-6(3n+8)+8n=24-n

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Solution for -6(3n+8)+8n=24-n equation:


Simplifying
-6(3n + 8) + 8n = 24 + -1n

Reorder the terms:
-6(8 + 3n) + 8n = 24 + -1n
(8 * -6 + 3n * -6) + 8n = 24 + -1n
(-48 + -18n) + 8n = 24 + -1n

Combine like terms: -18n + 8n = -10n
-48 + -10n = 24 + -1n

Solving
-48 + -10n = 24 + -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.
-48 + -10n + n = 24 + -1n + n

Combine like terms: -10n + n = -9n
-48 + -9n = 24 + -1n + n

Combine like terms: -1n + n = 0
-48 + -9n = 24 + 0
-48 + -9n = 24

Add '48' to each side of the equation.
-48 + 48 + -9n = 24 + 48

Combine like terms: -48 + 48 = 0
0 + -9n = 24 + 48
-9n = 24 + 48

Combine like terms: 24 + 48 = 72
-9n = 72

Divide each side by '-9'.
n = -8

Simplifying
n = -8

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