2(1+3n)=3n-7n

Solution for 2(1+3n)=3n-7n equation:

Simplifying
2(1 + 3n) = 3n + -7n
(1 * 2 + 3n * 2) = 3n + -7n
(2 + 6n) = 3n + -7n

Combine like terms: 3n + -7n = -4n
2 + 6n = -4n

Solving
2 + 6n = -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
2 + 6n + 4n = -4n + 4n

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

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

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