12+3(2n-3)+(4n-1)=

Solution for 12+3(2n-3)+(4n-1)= equation:

Simplifying
12 + 3(2n + -3) + (4n + -1) = 0

Reorder the terms:
12 + 3(-3 + 2n) + (4n + -1) = 0
12 + (-3 * 3 + 2n * 3) + (4n + -1) = 0
12 + (-9 + 6n) + (4n + -1) = 0

Reorder the terms:
12 + -9 + 6n + (-1 + 4n) = 0

Remove parenthesis around (-1 + 4n)
12 + -9 + 6n + -1 + 4n = 0

Reorder the terms:
12 + -9 + -1 + 6n + 4n = 0

Combine like terms: 12 + -9 = 3
3 + -1 + 6n + 4n = 0

Combine like terms: 3 + -1 = 2
2 + 6n + 4n = 0

Combine like terms: 6n + 4n = 10n
2 + 10n = 0

Solving
2 + 10n = 0

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 10n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 10n = 0 + -2
10n = 0 + -2

Combine like terms: 0 + -2 = -2
10n = -2

Divide each side by '10'.
n = -0.2

Simplifying
n = -0.2