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

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


Simplifying
-6(6 + -4n) + 3n = a(x + -8)
(6 * -6 + -4n * -6) + 3n = a(x + -8)
(-36 + 24n) + 3n = a(x + -8)

Combine like terms: 24n + 3n = 27n
-36 + 27n = a(x + -8)

Reorder the terms:
-36 + 27n = a(-8 + x)
-36 + 27n = (-8 * a + x * a)
-36 + 27n = (-8a + ax)

Solving
-36 + 27n = -8a + ax

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + 27n = -8a + 36 + ax

Combine like terms: -36 + 36 = 0
0 + 27n = -8a + 36 + ax
27n = -8a + 36 + ax

Reorder the terms:
27n = 36 + -8a + ax

Divide each side by '27'.
n = 1.333333333 + -0.2962962963a + 0.03703703704ax

Simplifying
n = 1.333333333 + -0.2962962963a + 0.03703703704ax

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