-1(n-8)+6n=4+3(6+n)

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Solution for -1(n-8)+6n=4+3(6+n) equation: 


Simplifying
-1(n + -8) + 6n = 4 + 3(6 + n)

Reorder the terms:
-1(-8 + n) + 6n = 4 + 3(6 + n)
(-8 * -1 + n * -1) + 6n = 4 + 3(6 + n)
(8 + -1n) + 6n = 4 + 3(6 + n)

Combine like terms: -1n + 6n = 5n
8 + 5n = 4 + 3(6 + n)
8 + 5n = 4 + (6 * 3 + n * 3)
8 + 5n = 4 + (18 + 3n)

Combine like terms: 4 + 18 = 22
8 + 5n = 22 + 3n

Solving
8 + 5n = 22 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + 5n + -3n = 22 + 3n + -3n

Combine like terms: 5n + -3n = 2n
8 + 2n = 22 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + 2n = 22 + 0
8 + 2n = 22

Add '-8' to each side of the equation.
8 + -8 + 2n = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2n = 22 + -8
2n = 22 + -8

Combine like terms: 22 + -8 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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