7n-8=4n+7

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Solution for 7n-8=4n+7 equation:


Simplifying
7n + -8 = 4n + 7

Reorder the terms:
-8 + 7n = 4n + 7

Reorder the terms:
-8 + 7n = 7 + 4n

Solving
-8 + 7n = 7 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-8 + 7n + -4n = 7 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
-8 + 3n = 7 + 0
-8 + 3n = 7

Add '8' to each side of the equation.
-8 + 8 + 3n = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3n = 7 + 8
3n = 7 + 8

Combine like terms: 7 + 8 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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