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

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

Simplifying
6n + 3(1 + 4n) = -1n + -3
6n + (1 * 3 + 4n * 3) = -1n + -3
6n + (3 + 12n) = -1n + -3

Reorder the terms:
3 + 6n + 12n = -1n + -3

Combine like terms: 6n + 12n = 18n
3 + 18n = -1n + -3

Reorder the terms:
3 + 18n = -3 + -1n

Solving
3 + 18n = -3 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
3 + 18n + n = -3 + -1n + n

Combine like terms: 18n + n = 19n
3 + 19n = -3 + -1n + n

Combine like terms: -1n + n = 0
3 + 19n = -3 + 0
3 + 19n = -3

Add '-3' to each side of the equation.
3 + -3 + 19n = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 19n = -3 + -3
19n = -3 + -3

Combine like terms: -3 + -3 = -6
19n = -6

Divide each side by '19'.
n = -0.3157894737

Simplifying
n = -0.3157894737