5n-7=2n+14

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Solution for 5n-7=2n+14 equation:


Simplifying
5n + -7 = 2n + 14

Reorder the terms:
-7 + 5n = 2n + 14

Reorder the terms:
-7 + 5n = 14 + 2n

Solving
-7 + 5n = 14 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-7 + 5n + -2n = 14 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-7 + 3n = 14 + 2n + -2n

Combine like terms: 2n + -2n = 0
-7 + 3n = 14 + 0
-7 + 3n = 14

Add '7' to each side of the equation.
-7 + 7 + 3n = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3n = 14 + 7
3n = 14 + 7

Combine like terms: 14 + 7 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7

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