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

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

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

Reorder the terms:
1 + -4(4 + -3n) = 3(2 + 3n)
1 + (4 * -4 + -3n * -4) = 3(2 + 3n)
1 + (-16 + 12n) = 3(2 + 3n)

Combine like terms: 1 + -16 = -15
-15 + 12n = 3(2 + 3n)
-15 + 12n = (2 * 3 + 3n * 3)
-15 + 12n = (6 + 9n)

Solving
-15 + 12n = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-15 + 12n + -9n = 6 + 9n + -9n

Combine like terms: 12n + -9n = 3n
-15 + 3n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-15 + 3n = 6 + 0
-15 + 3n = 6

Add '15' to each side of the equation.
-15 + 15 + 3n = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = 6 + 15
3n = 6 + 15

Combine like terms: 6 + 15 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7