n+2n+3+4=5n+6n+7+8

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Solution for n+2n+3+4=5n+6n+7+8 equation: 


Simplifying
n + 2n + 3 + 4 = 5n + 6n + 7 + 8

Reorder the terms:
3 + 4 + n + 2n = 5n + 6n + 7 + 8

Combine like terms: 3 + 4 = 7
7 + n + 2n = 5n + 6n + 7 + 8

Combine like terms: n + 2n = 3n
7 + 3n = 5n + 6n + 7 + 8

Reorder the terms:
7 + 3n = 7 + 8 + 5n + 6n

Combine like terms: 7 + 8 = 15
7 + 3n = 15 + 5n + 6n

Combine like terms: 5n + 6n = 11n
7 + 3n = 15 + 11n

Solving
7 + 3n = 15 + 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.
7 + 3n + -11n = 15 + 11n + -11n

Combine like terms: 3n + -11n = -8n
7 + -8n = 15 + 11n + -11n

Combine like terms: 11n + -11n = 0
7 + -8n = 15 + 0
7 + -8n = 15

Add '-7' to each side of the equation.
7 + -7 + -8n = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -8n = 15 + -7
-8n = 15 + -7

Combine like terms: 15 + -7 = 8
-8n = 8

Divide each side by '-8'.
n = -1

Simplifying
n = -1

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