4(n+1.5)=.5(6-n)

Solution for 4(n+1.5)=.5(6-n) equation:

Simplifying
4(n + 1.5) = 0.5(6 + -1n)

Reorder the terms:
4(1.5 + n) = 0.5(6 + -1n)
(1.5 * 4 + n * 4) = 0.5(6 + -1n)
(6 + 4n) = 0.5(6 + -1n)
6 + 4n = (6 * 0.5 + -1n * 0.5)
6 + 4n = (3 + -0.5n)

Solving
6 + 4n = 3 + -0.5n

Solving for variable 'n'.

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

Add '0.5n' to each side of the equation.
6 + 4n + 0.5n = 3 + -0.5n + 0.5n

Combine like terms: 4n + 0.5n = 4.5n
6 + 4.5n = 3 + -0.5n + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
6 + 4.5n = 3 + 0.0
6 + 4.5n = 3

Add '-6' to each side of the equation.
6 + -6 + 4.5n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 4.5n = 3 + -6
4.5n = 3 + -6

Combine like terms: 3 + -6 = -3
4.5n = -3

Divide each side by '4.5'.
n = -0.6666666667

Simplifying
n = -0.6666666667