4n+5=7n-13

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


Simplifying
4n + 5 = 7n + -13

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

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

Solving
5 + 4n = -13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
5 + 4n + -7n = -13 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
5 + -3n = -13 + 0
5 + -3n = -13

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

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

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

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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