6(1+3n)=-4(-7n-4)

Solution for 6(1+3n)=-4(-7n-4) equation:

Simplifying
6(1 + 3n) = -4(-7n + -4)
(1 * 6 + 3n * 6) = -4(-7n + -4)
(6 + 18n) = -4(-7n + -4)

Reorder the terms:
6 + 18n = -4(-4 + -7n)
6 + 18n = (-4 * -4 + -7n * -4)
6 + 18n = (16 + 28n)

Solving
6 + 18n = 16 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
6 + 18n + -28n = 16 + 28n + -28n

Combine like terms: 18n + -28n = -10n
6 + -10n = 16 + 28n + -28n

Combine like terms: 28n + -28n = 0
6 + -10n = 16 + 0
6 + -10n = 16

Add '-6' to each side of the equation.
6 + -6 + -10n = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -10n = 16 + -6
-10n = 16 + -6

Combine like terms: 16 + -6 = 10
-10n = 10

Divide each side by '-10'.
n = -1

Simplifying
n = -1