(3n-47)=(n+7)

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Solution for (3n-47)=(n+7) equation:


Simplifying
(3n + -47) = (n + 7)

Reorder the terms:
(-47 + 3n) = (n + 7)

Remove parenthesis around (-47 + 3n)
-47 + 3n = (n + 7)

Reorder the terms:
-47 + 3n = (7 + n)

Remove parenthesis around (7 + n)
-47 + 3n = 7 + n

Solving
-47 + 3n = 7 + 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.
-47 + 3n + -1n = 7 + n + -1n

Combine like terms: 3n + -1n = 2n
-47 + 2n = 7 + n + -1n

Combine like terms: n + -1n = 0
-47 + 2n = 7 + 0
-47 + 2n = 7

Add '47' to each side of the equation.
-47 + 47 + 2n = 7 + 47

Combine like terms: -47 + 47 = 0
0 + 2n = 7 + 47
2n = 7 + 47

Combine like terms: 7 + 47 = 54
2n = 54

Divide each side by '2'.
n = 27

Simplifying
n = 27

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