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

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

Simplifying
-2(3 + 8n) = 3(n + -2)
(3 * -2 + 8n * -2) = 3(n + -2)
(-6 + -16n) = 3(n + -2)

Reorder the terms:
-6 + -16n = 3(-2 + n)
-6 + -16n = (-2 * 3 + n * 3)
-6 + -16n = (-6 + 3n)

Add '6' to each side of the equation.
-6 + 6 + -16n = -6 + 6 + 3n

Combine like terms: -6 + 6 = 0
0 + -16n = -6 + 6 + 3n
-16n = -6 + 6 + 3n

Combine like terms: -6 + 6 = 0
-16n = 0 + 3n
-16n = 3n

Solving
-16n = 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-16n + -3n = 3n + -3n

Combine like terms: -16n + -3n = -19n
-19n = 3n + -3n

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

Divide each side by '-19'.
n = 0

Simplifying
n = 0