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

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


Simplifying
6(6 + -1n) = -3(n + -8)
(6 * 6 + -1n * 6) = -3(n + -8)
(36 + -6n) = -3(n + -8)

Reorder the terms:
36 + -6n = -3(-8 + n)
36 + -6n = (-8 * -3 + n * -3)
36 + -6n = (24 + -3n)

Solving
36 + -6n = 24 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
36 + -6n + 3n = 24 + -3n + 3n

Combine like terms: -6n + 3n = -3n
36 + -3n = 24 + -3n + 3n

Combine like terms: -3n + 3n = 0
36 + -3n = 24 + 0
36 + -3n = 24

Add '-36' to each side of the equation.
36 + -36 + -3n = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -3n = 24 + -36
-3n = 24 + -36

Combine like terms: 24 + -36 = -12
-3n = -12

Divide each side by '-3'.
n = 4

Simplifying
n = 4

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