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

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

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

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

Reorder the terms for easier multiplication:
-1(3 + 2n) = 2(-4)(3n)
(3 * -1 + 2n * -1) = 2(-4)(3n)
(-3 + -2n) = 2(-4)(3n)

Remove parenthesis around (3n)
-3 + -2n = 2 * -4 * 3n

Multiply 2 * -4
-3 + -2n = -8 * 3n

Multiply -8 * 3
-3 + -2n = -24n

Solving
-3 + -2n = -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
-3 + -2n + 24n = -24n + 24n

Combine like terms: -2n + 24n = 22n
-3 + 22n = -24n + 24n

Combine like terms: -24n + 24n = 0
-3 + 22n = 0

Add '3' to each side of the equation.
-3 + 3 + 22n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 22n = 0 + 3
22n = 0 + 3

Combine like terms: 0 + 3 = 3
22n = 3

Divide each side by '22'.
n = 0.1363636364

Simplifying
n = 0.1363636364