3n-7=8+6(n+2)

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Solution for 3n-7=8+6(n+2) equation: 


Simplifying
3n + -7 = 8 + 6(n + 2)

Reorder the terms:
-7 + 3n = 8 + 6(n + 2)

Reorder the terms:
-7 + 3n = 8 + 6(2 + n)
-7 + 3n = 8 + (2 * 6 + n * 6)
-7 + 3n = 8 + (12 + 6n)

Combine like terms: 8 + 12 = 20
-7 + 3n = 20 + 6n

Solving
-7 + 3n = 20 + 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.
-7 + 3n + -6n = 20 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-7 + -3n = 20 + 6n + -6n

Combine like terms: 6n + -6n = 0
-7 + -3n = 20 + 0
-7 + -3n = 20

Add '7' to each side of the equation.
-7 + 7 + -3n = 20 + 7

Combine like terms: -7 + 7 = 0
0 + -3n = 20 + 7
-3n = 20 + 7

Combine like terms: 20 + 7 = 27
-3n = 27

Divide each side by '-3'.
n = -9

Simplifying
n = -9

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