7n-8=3n+14

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Solution for 7n-8=3n+14 equation:


Simplifying
7n + -8 = 3n + 14

Reorder the terms:
-8 + 7n = 3n + 14

Reorder the terms:
-8 + 7n = 14 + 3n

Solving
-8 + 7n = 14 + 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.
-8 + 7n + -3n = 14 + 3n + -3n

Combine like terms: 7n + -3n = 4n
-8 + 4n = 14 + 3n + -3n

Combine like terms: 3n + -3n = 0
-8 + 4n = 14 + 0
-8 + 4n = 14

Add '8' to each side of the equation.
-8 + 8 + 4n = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 4n = 14 + 8
4n = 14 + 8

Combine like terms: 14 + 8 = 22
4n = 22

Divide each side by '4'.
n = 5.5

Simplifying
n = 5.5

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