12(n+6)-(8n+9)=6+(3n+1)

Solution for 12(n+6)-(8n+9)=6+(3n+1) equation:

Simplifying
12(n + 6) + -1(8n + 9) = 6 + (3n + 1)

Reorder the terms:
12(6 + n) + -1(8n + 9) = 6 + (3n + 1)
(6 * 12 + n * 12) + -1(8n + 9) = 6 + (3n + 1)
(72 + 12n) + -1(8n + 9) = 6 + (3n + 1)

Reorder the terms:
72 + 12n + -1(9 + 8n) = 6 + (3n + 1)
72 + 12n + (9 * -1 + 8n * -1) = 6 + (3n + 1)
72 + 12n + (-9 + -8n) = 6 + (3n + 1)

Reorder the terms:
72 + -9 + 12n + -8n = 6 + (3n + 1)

Combine like terms: 72 + -9 = 63
63 + 12n + -8n = 6 + (3n + 1)

Combine like terms: 12n + -8n = 4n
63 + 4n = 6 + (3n + 1)

Reorder the terms:
63 + 4n = 6 + (1 + 3n)

Remove parenthesis around (1 + 3n)
63 + 4n = 6 + 1 + 3n

Combine like terms: 6 + 1 = 7
63 + 4n = 7 + 3n

Solving
63 + 4n = 7 + 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.
63 + 4n + -3n = 7 + 3n + -3n

Combine like terms: 4n + -3n = 1n
63 + 1n = 7 + 3n + -3n

Combine like terms: 3n + -3n = 0
63 + 1n = 7 + 0
63 + 1n = 7

Add '-63' to each side of the equation.
63 + -63 + 1n = 7 + -63

Combine like terms: 63 + -63 = 0
0 + 1n = 7 + -63
1n = 7 + -63

Combine like terms: 7 + -63 = -56
1n = -56

Divide each side by '1'.
n = -56

Simplifying
n = -56