6(n+8)-9(3n-4)=a

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Solution for 6(n+8)-9(3n-4)=a equation: 


Simplifying
6(n + 8) + -9(3n + -4) = a

Reorder the terms:
6(8 + n) + -9(3n + -4) = a
(8 * 6 + n * 6) + -9(3n + -4) = a
(48 + 6n) + -9(3n + -4) = a

Reorder the terms:
48 + 6n + -9(-4 + 3n) = a
48 + 6n + (-4 * -9 + 3n * -9) = a
48 + 6n + (36 + -27n) = a

Reorder the terms:
48 + 36 + 6n + -27n = a

Combine like terms: 48 + 36 = 84
84 + 6n + -27n = a

Combine like terms: 6n + -27n = -21n
84 + -21n = a

Solving
84 + -21n = a

Solving for variable 'n'.

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

Add '-84' to each side of the equation.
84 + -84 + -21n = -84 + a

Combine like terms: 84 + -84 = 0
0 + -21n = -84 + a
-21n = -84 + a

Divide each side by '-21'.
n = 4 + -0.04761904762a

Simplifying
n = 4 + -0.04761904762a

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