[10n-7]=[n]

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Solution for [10n-7]=[n] equation:


Simplifying
[10n + -7] = [n]

Reorder the terms:
[-7 + 10n] = [n]

Remove brackets around [-7 + 10n]
-7 + 10n = [n]
-7 + 10n = n

Solving
-7 + 10n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-7 + 10n + -1n = n + -1n

Combine like terms: 10n + -1n = 9n
-7 + 9n = n + -1n

Combine like terms: n + -1n = 0
-7 + 9n = 0

Add '7' to each side of the equation.
-7 + 7 + 9n = 0 + 7

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

Combine like terms: 0 + 7 = 7
9n = 7

Divide each side by '9'.
n = 0.7777777778

Simplifying
n = 0.7777777778

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