7n-5=10n+13

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Solution for 7n-5=10n+13 equation:


Simplifying
7n + -5 = 10n + 13

Reorder the terms:
-5 + 7n = 10n + 13

Reorder the terms:
-5 + 7n = 13 + 10n

Solving
-5 + 7n = 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 + 7n + -10n = 13 + 10n + -10n

Combine like terms: 7n + -10n = -3n
-5 + -3n = 13 + 10n + -10n

Combine like terms: 10n + -10n = 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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