(6n-7)+(8n+2)=23

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Solution for (6n-7)+(8n+2)=23 equation:


Simplifying
(6n + -7) + (8n + 2) = 23

Reorder the terms:
(-7 + 6n) + (8n + 2) = 23

Remove parenthesis around (-7 + 6n)
-7 + 6n + (8n + 2) = 23

Reorder the terms:
-7 + 6n + (2 + 8n) = 23

Remove parenthesis around (2 + 8n)
-7 + 6n + 2 + 8n = 23

Reorder the terms:
-7 + 2 + 6n + 8n = 23

Combine like terms: -7 + 2 = -5
-5 + 6n + 8n = 23

Combine like terms: 6n + 8n = 14n
-5 + 14n = 23

Solving
-5 + 14n = 23

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 14n = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 14n = 23 + 5
14n = 23 + 5

Combine like terms: 23 + 5 = 28
14n = 28

Divide each side by '14'.
n = 2

Simplifying
n = 2

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