9(n-4)-7n=32-2(n+8)

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Solution for 9(n-4)-7n=32-2(n+8) equation: 


Simplifying
9(n + -4) + -7n = 32 + -2(n + 8)

Reorder the terms:
9(-4 + n) + -7n = 32 + -2(n + 8)
(-4 * 9 + n * 9) + -7n = 32 + -2(n + 8)
(-36 + 9n) + -7n = 32 + -2(n + 8)

Combine like terms: 9n + -7n = 2n
-36 + 2n = 32 + -2(n + 8)

Reorder the terms:
-36 + 2n = 32 + -2(8 + n)
-36 + 2n = 32 + (8 * -2 + n * -2)
-36 + 2n = 32 + (-16 + -2n)

Combine like terms: 32 + -16 = 16
-36 + 2n = 16 + -2n

Solving
-36 + 2n = 16 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-36 + 2n + 2n = 16 + -2n + 2n

Combine like terms: 2n + 2n = 4n
-36 + 4n = 16 + -2n + 2n

Combine like terms: -2n + 2n = 0
-36 + 4n = 16 + 0
-36 + 4n = 16

Add '36' to each side of the equation.
-36 + 36 + 4n = 16 + 36

Combine like terms: -36 + 36 = 0
0 + 4n = 16 + 36
4n = 16 + 36

Combine like terms: 16 + 36 = 52
4n = 52

Divide each side by '4'.
n = 13

Simplifying
n = 13

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