3+5n=4(n+2)+6n

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Solution for 3+5n=4(n+2)+6n equation: 


Simplifying
3 + 5n = 4(n + 2) + 6n

Reorder the terms:
3 + 5n = 4(2 + n) + 6n
3 + 5n = (2 * 4 + n * 4) + 6n
3 + 5n = (8 + 4n) + 6n

Combine like terms: 4n + 6n = 10n
3 + 5n = 8 + 10n

Solving
3 + 5n = 8 + 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.
3 + 5n + -10n = 8 + 10n + -10n

Combine like terms: 5n + -10n = -5n
3 + -5n = 8 + 10n + -10n

Combine like terms: 10n + -10n = 0
3 + -5n = 8 + 0
3 + -5n = 8

Add '-3' to each side of the equation.
3 + -3 + -5n = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = 8 + -3
-5n = 8 + -3

Combine like terms: 8 + -3 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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