10n+2=7n+13

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Solution for 10n+2=7n+13 equation: 


Simplifying
10n + 2 = 7n + 13

Reorder the terms:
2 + 10n = 7n + 13

Reorder the terms:
2 + 10n = 13 + 7n

Solving
2 + 10n = 13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
2 + 10n + -7n = 13 + 7n + -7n

Combine like terms: 10n + -7n = 3n
2 + 3n = 13 + 7n + -7n

Combine like terms: 7n + -7n = 0
2 + 3n = 13 + 0
2 + 3n = 13

Add '-2' to each side of the equation.
2 + -2 + 3n = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 13 + -2
3n = 13 + -2

Combine like terms: 13 + -2 = 11
3n = 11

Divide each side by '3'.
n = 3.666666667

Simplifying
n = 3.666666667

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