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

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


Simplifying
6(6 + 3n) = -24 + 8n
(6 * 6 + 3n * 6) = -24 + 8n
(36 + 18n) = -24 + 8n

Solving
36 + 18n = -24 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
36 + 18n + -8n = -24 + 8n + -8n

Combine like terms: 18n + -8n = 10n
36 + 10n = -24 + 8n + -8n

Combine like terms: 8n + -8n = 0
36 + 10n = -24 + 0
36 + 10n = -24

Add '-36' to each side of the equation.
36 + -36 + 10n = -24 + -36

Combine like terms: 36 + -36 = 0
0 + 10n = -24 + -36
10n = -24 + -36

Combine like terms: -24 + -36 = -60
10n = -60

Divide each side by '10'.
n = -6

Simplifying
n = -6

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