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

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


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

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

Combine like terms: 2n + 6n = 8n
-14 + 8n = 6(n + 2)

Reorder the terms:
-14 + 8n = 6(2 + n)
-14 + 8n = (2 * 6 + n * 6)
-14 + 8n = (12 + 6n)

Solving
-14 + 8n = 12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-14 + 8n + -6n = 12 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-14 + 2n = 12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-14 + 2n = 12 + 0
-14 + 2n = 12

Add '14' to each side of the equation.
-14 + 14 + 2n = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 2n = 12 + 14
2n = 12 + 14

Combine like terms: 12 + 14 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13

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