7n-13=5n+5n

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


Simplifying
7n + -13 = 5n + 5n

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

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

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

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

Combine like terms: 10n + -10n = 0
-13 + -3n = 0

Add '13' to each side of the equation.
-13 + 13 + -3n = 0 + 13

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

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

Divide each side by '-3'.
n = -4.333333333

Simplifying
n = -4.333333333

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