(2n+4)+(3n-2)=8n-19

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Solution for (2n+4)+(3n-2)=8n-19 equation: 


Simplifying
(2n + 4) + (3n + -2) = 8n + -19

Reorder the terms:
(4 + 2n) + (3n + -2) = 8n + -19

Remove parenthesis around (4 + 2n)
4 + 2n + (3n + -2) = 8n + -19

Reorder the terms:
4 + 2n + (-2 + 3n) = 8n + -19

Remove parenthesis around (-2 + 3n)
4 + 2n + -2 + 3n = 8n + -19

Reorder the terms:
4 + -2 + 2n + 3n = 8n + -19

Combine like terms: 4 + -2 = 2
2 + 2n + 3n = 8n + -19

Combine like terms: 2n + 3n = 5n
2 + 5n = 8n + -19

Reorder the terms:
2 + 5n = -19 + 8n

Solving
2 + 5n = -19 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 5n + -8n = -19 + 8n + -8n

Combine like terms: 5n + -8n = -3n
2 + -3n = -19 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -3n = -19 + 0
2 + -3n = -19

Add '-2' to each side of the equation.
2 + -2 + -3n = -19 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -19 + -2
-3n = -19 + -2

Combine like terms: -19 + -2 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7

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