7n-10=4n+5

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Solution for 7n-10=4n+5 equation:


Simplifying
7n + -10 = 4n + 5

Reorder the terms:
-10 + 7n = 4n + 5

Reorder the terms:
-10 + 7n = 5 + 4n

Solving
-10 + 7n = 5 + 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.
-10 + 7n + -4n = 5 + 4n + -4n

Combine like terms: 7n + -4n = 3n
-10 + 3n = 5 + 4n + -4n

Combine like terms: 4n + -4n = 0
-10 + 3n = 5 + 0
-10 + 3n = 5

Add '10' to each side of the equation.
-10 + 10 + 3n = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 3n = 5 + 10
3n = 5 + 10

Combine like terms: 5 + 10 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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