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

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


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

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

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

Solving
-48 + 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.
-48 + 6n + 3n = 24 + -3n + 3n

Combine like terms: 6n + 3n = 9n
-48 + 9n = 24 + -3n + 3n

Combine like terms: -3n + 3n = 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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