2n+4n=-4(6n+8)+2(2n+3)

Solution for 2n+4n=-4(6n+8)+2(2n+3) equation:

Simplifying
2n + 4n = -4(6n + 8) + 2(2n + 3)

Combine like terms: 2n + 4n = 6n
6n = -4(6n + 8) + 2(2n + 3)

Reorder the terms:
6n = -4(8 + 6n) + 2(2n + 3)
6n = (8 * -4 + 6n * -4) + 2(2n + 3)
6n = (-32 + -24n) + 2(2n + 3)

Reorder the terms:
6n = -32 + -24n + 2(3 + 2n)
6n = -32 + -24n + (3 * 2 + 2n * 2)
6n = -32 + -24n + (6 + 4n)

Reorder the terms:
6n = -32 + 6 + -24n + 4n

Combine like terms: -32 + 6 = -26
6n = -26 + -24n + 4n

Combine like terms: -24n + 4n = -20n
6n = -26 + -20n

Solving
6n = -26 + -20n

Solving for variable 'n'.

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

Add '20n' to each side of the equation.
6n + 20n = -26 + -20n + 20n

Combine like terms: 6n + 20n = 26n
26n = -26 + -20n + 20n

Combine like terms: -20n + 20n = 0
26n = -26 + 0
26n = -26

Divide each side by '26'.
n = -1

Simplifying
n = -1