2n+(5n-13)=47

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Solution for 2n+(5n-13)=47 equation:


Simplifying
2n + (5n + -13) = 47

Reorder the terms:
2n + (-13 + 5n) = 47

Remove parenthesis around (-13 + 5n)
2n + -13 + 5n = 47

Reorder the terms:
-13 + 2n + 5n = 47

Combine like terms: 2n + 5n = 7n
-13 + 7n = 47

Solving
-13 + 7n = 47

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + 7n = 47 + 13

Combine like terms: -13 + 13 = 0
0 + 7n = 47 + 13
7n = 47 + 13

Combine like terms: 47 + 13 = 60
7n = 60

Divide each side by '7'.
n = 8.571428571

Simplifying
n = 8.571428571

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