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

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

Simplifying
3(2n + 1) + 4(n + -2) = 0

Reorder the terms:
3(1 + 2n) + 4(n + -2) = 0
(1 * 3 + 2n * 3) + 4(n + -2) = 0
(3 + 6n) + 4(n + -2) = 0

Reorder the terms:
3 + 6n + 4(-2 + n) = 0
3 + 6n + (-2 * 4 + n * 4) = 0
3 + 6n + (-8 + 4n) = 0

Reorder the terms:
3 + -8 + 6n + 4n = 0

Combine like terms: 3 + -8 = -5
-5 + 6n + 4n = 0

Combine like terms: 6n + 4n = 10n
-5 + 10n = 0

Solving
-5 + 10n = 0

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 10n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 10n = 0 + 5
10n = 0 + 5

Combine like terms: 0 + 5 = 5
10n = 5

Divide each side by '10'.
n = 0.5

Simplifying
n = 0.5