10n-7n-8=32-n

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Solution for 10n-7n-8=32-n equation:


Simplifying
10n + -7n + -8 = 32 + -1n

Reorder the terms:
-8 + 10n + -7n = 32 + -1n

Combine like terms: 10n + -7n = 3n
-8 + 3n = 32 + -1n

Solving
-8 + 3n = 32 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-8 + 3n + n = 32 + -1n + n

Combine like terms: 3n + n = 4n
-8 + 4n = 32 + -1n + n

Combine like terms: -1n + n = 0
-8 + 4n = 32 + 0
-8 + 4n = 32

Add '8' to each side of the equation.
-8 + 8 + 4n = 32 + 8

Combine like terms: -8 + 8 = 0
0 + 4n = 32 + 8
4n = 32 + 8

Combine like terms: 32 + 8 = 40
4n = 40

Divide each side by '4'.
n = 10

Simplifying
n = 10

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