10n+1=3n+7

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Solution for 10n+1=3n+7 equation:


Simplifying
10n + 1 = 3n + 7

Reorder the terms:
1 + 10n = 3n + 7

Reorder the terms:
1 + 10n = 7 + 3n

Solving
1 + 10n = 7 + 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.
1 + 10n + -3n = 7 + 3n + -3n

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

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

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

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

Combine like terms: 7 + -1 = 6
7n = 6

Divide each side by '7'.
n = 0.8571428571

Simplifying
n = 0.8571428571

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