7(n-8)=32-4n

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


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

Reorder the terms:
7(-8 + n) = 32 + -4n
(-8 * 7 + n * 7) = 32 + -4n
(-56 + 7n) = 32 + -4n

Solving
-56 + 7n = 32 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-56 + 7n + 4n = 32 + -4n + 4n

Combine like terms: 7n + 4n = 11n
-56 + 11n = 32 + -4n + 4n

Combine like terms: -4n + 4n = 0
-56 + 11n = 32 + 0
-56 + 11n = 32

Add '56' to each side of the equation.
-56 + 56 + 11n = 32 + 56

Combine like terms: -56 + 56 = 0
0 + 11n = 32 + 56
11n = 32 + 56

Combine like terms: 32 + 56 = 88
11n = 88

Divide each side by '11'.
n = 8

Simplifying
n = 8

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