2(n-4)=9(n+8)

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Solution for 2(n-4)=9(n+8) equation:


Simplifying
2(n + -4) = 9(n + 8)

Reorder the terms:
2(-4 + n) = 9(n + 8)
(-4 * 2 + n * 2) = 9(n + 8)
(-8 + 2n) = 9(n + 8)

Reorder the terms:
-8 + 2n = 9(8 + n)
-8 + 2n = (8 * 9 + n * 9)
-8 + 2n = (72 + 9n)

Solving
-8 + 2n = 72 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-8 + 2n + -9n = 72 + 9n + -9n

Combine like terms: 2n + -9n = -7n
-8 + -7n = 72 + 9n + -9n

Combine like terms: 9n + -9n = 0
-8 + -7n = 72 + 0
-8 + -7n = 72

Add '8' to each side of the equation.
-8 + 8 + -7n = 72 + 8

Combine like terms: -8 + 8 = 0
0 + -7n = 72 + 8
-7n = 72 + 8

Combine like terms: 72 + 8 = 80
-7n = 80

Divide each side by '-7'.
n = -11.42857143

Simplifying
n = -11.42857143

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