4n+5=10n+13

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Solution for 4n+5=10n+13 equation:


Simplifying
4n + 5 = 10n + 13

Reorder the terms:
5 + 4n = 10n + 13

Reorder the terms:
5 + 4n = 13 + 10n

Solving
5 + 4n = 13 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
5 + 4n + -10n = 13 + 10n + -10n

Combine like terms: 4n + -10n = -6n
5 + -6n = 13 + 10n + -10n

Combine like terms: 10n + -10n = 0
5 + -6n = 13 + 0
5 + -6n = 13

Add '-5' to each side of the equation.
5 + -5 + -6n = 13 + -5

Combine like terms: 5 + -5 = 0
0 + -6n = 13 + -5
-6n = 13 + -5

Combine like terms: 13 + -5 = 8
-6n = 8

Divide each side by '-6'.
n = -1.333333333

Simplifying
n = -1.333333333

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