(3n+10)=5n-10+6n

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Solution for (3n+10)=5n-10+6n equation:


Simplifying
(3n + 10) = 5n + -10 + 6n

Reorder the terms:
(10 + 3n) = 5n + -10 + 6n

Remove parenthesis around (10 + 3n)
10 + 3n = 5n + -10 + 6n

Reorder the terms:
10 + 3n = -10 + 5n + 6n

Combine like terms: 5n + 6n = 11n
10 + 3n = -10 + 11n

Solving
10 + 3n = -10 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
10 + 3n + -11n = -10 + 11n + -11n

Combine like terms: 3n + -11n = -8n
10 + -8n = -10 + 11n + -11n

Combine like terms: 11n + -11n = 0
10 + -8n = -10 + 0
10 + -8n = -10

Add '-10' to each side of the equation.
10 + -10 + -8n = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -8n = -10 + -10
-8n = -10 + -10

Combine like terms: -10 + -10 = -20
-8n = -20

Divide each side by '-8'.
n = 2.5

Simplifying
n = 2.5

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