10n-8=3n-1

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Solution for 10n-8=3n-1 equation:


Simplifying
10n + -8 = 3n + -1

Reorder the terms:
-8 + 10n = 3n + -1

Reorder the terms:
-8 + 10n = -1 + 3n

Solving
-8 + 10n = -1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-8 + 10n + -3n = -1 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-8 + 7n = -1 + 0
-8 + 7n = -1

Add '8' to each side of the equation.
-8 + 8 + 7n = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 7n = -1 + 8
7n = -1 + 8

Combine like terms: -1 + 8 = 7
7n = 7

Divide each side by '7'.
n = 1

Simplifying
n = 1

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