n-9=6(n-4)

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Solution for n-9=6(n-4) equation:


Simplifying
n + -9 = 6(n + -4)

Reorder the terms:
-9 + n = 6(n + -4)

Reorder the terms:
-9 + n = 6(-4 + n)
-9 + n = (-4 * 6 + n * 6)
-9 + n = (-24 + 6n)

Solving
-9 + n = -24 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-9 + n + -6n = -24 + 6n + -6n

Combine like terms: n + -6n = -5n
-9 + -5n = -24 + 6n + -6n

Combine like terms: 6n + -6n = 0
-9 + -5n = -24 + 0
-9 + -5n = -24

Add '9' to each side of the equation.
-9 + 9 + -5n = -24 + 9

Combine like terms: -9 + 9 = 0
0 + -5n = -24 + 9
-5n = -24 + 9

Combine like terms: -24 + 9 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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