3+3(9n+1)=-6(4-2n)

Solution for 3+3(9n+1)=-6(4-2n) equation:

Simplifying
3 + 3(9n + 1) = -6(4 + -2n)

Reorder the terms:
3 + 3(1 + 9n) = -6(4 + -2n)
3 + (1 * 3 + 9n * 3) = -6(4 + -2n)
3 + (3 + 27n) = -6(4 + -2n)

Combine like terms: 3 + 3 = 6
6 + 27n = -6(4 + -2n)
6 + 27n = (4 * -6 + -2n * -6)
6 + 27n = (-24 + 12n)

Solving
6 + 27n = -24 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
6 + 27n + -12n = -24 + 12n + -12n

Combine like terms: 27n + -12n = 15n
6 + 15n = -24 + 12n + -12n

Combine like terms: 12n + -12n = 0
6 + 15n = -24 + 0
6 + 15n = -24

Add '-6' to each side of the equation.
6 + -6 + 15n = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 15n = -24 + -6
15n = -24 + -6

Combine like terms: -24 + -6 = -30
15n = -30

Divide each side by '15'.
n = -2

Simplifying
n = -2