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

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


Simplifying
3(n + -2) + -1(7 + -6n) = 8

Reorder the terms:
3(-2 + n) + -1(7 + -6n) = 8
(-2 * 3 + n * 3) + -1(7 + -6n) = 8
(-6 + 3n) + -1(7 + -6n) = 8
-6 + 3n + (7 * -1 + -6n * -1) = 8
-6 + 3n + (-7 + 6n) = 8

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

Combine like terms: -6 + -7 = -13
-13 + 3n + 6n = 8

Combine like terms: 3n + 6n = 9n
-13 + 9n = 8

Solving
-13 + 9n = 8

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + 9n = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 9n = 8 + 13
9n = 8 + 13

Combine like terms: 8 + 13 = 21
9n = 21

Divide each side by '9'.
n = 2.333333333

Simplifying
n = 2.333333333

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