7n-13=4n+5

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Solution for 7n-13=4n+5 equation:


Simplifying
7n + -13 = 4n + 5

Reorder the terms:
-13 + 7n = 4n + 5

Reorder the terms:
-13 + 7n = 5 + 4n

Solving
-13 + 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.
-13 + 7n + -4n = 5 + 4n + -4n

Combine like terms: 7n + -4n = 3n
-13 + 3n = 5 + 4n + -4n

Combine like terms: 4n + -4n = 0
-13 + 3n = 5 + 0
-13 + 3n = 5

Add '13' to each side of the equation.
-13 + 13 + 3n = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 3n = 5 + 13
3n = 5 + 13

Combine like terms: 5 + 13 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6

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