2(4n-7)=6(n+7)-6n

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Solution for 2(4n-7)=6(n+7)-6n equation: 


Simplifying
2(4n + -7) = 6(n + 7) + -6n

Reorder the terms:
2(-7 + 4n) = 6(n + 7) + -6n
(-7 * 2 + 4n * 2) = 6(n + 7) + -6n
(-14 + 8n) = 6(n + 7) + -6n

Reorder the terms:
-14 + 8n = 6(7 + n) + -6n
-14 + 8n = (7 * 6 + n * 6) + -6n
-14 + 8n = (42 + 6n) + -6n

Combine like terms: 6n + -6n = 0
-14 + 8n = 42 + 0
-14 + 8n = 42

Solving
-14 + 8n = 42

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 14 + 8n = 42 + 14

Combine like terms: -14 + 14 = 0
0 + 8n = 42 + 14
8n = 42 + 14

Combine like terms: 42 + 14 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7

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