(n+.33)=1.5n+1+.5n-.33

Solution for (n+.33)=1.5n+1+.5n-.33 equation:

Simplifying
(n + 0.33) = 1.5n + 1 + 0.5n + -0.33

Reorder the terms:
(0.33 + n) = 1.5n + 1 + 0.5n + -0.33

Remove parenthesis around (0.33 + n)
0.33 + n = 1.5n + 1 + 0.5n + -0.33

Reorder the terms:
0.33 + n = 1 + -0.33 + 1.5n + 0.5n

Combine like terms: 1 + -0.33 = 0.67
0.33 + n = 0.67 + 1.5n + 0.5n

Combine like terms: 1.5n + 0.5n = 2n
0.33 + n = 0.67 + 2n

Solving
0.33 + n = 0.67 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
0.33 + n + -2n = 0.67 + 2n + -2n

Combine like terms: n + -2n = -1n
0.33 + -1n = 0.67 + 2n + -2n

Combine like terms: 2n + -2n = 0
0.33 + -1n = 0.67 + 0
0.33 + -1n = 0.67

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -1n = 0.67 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -1n = 0.67 + -0.33
-1n = 0.67 + -0.33

Combine like terms: 0.67 + -0.33 = 0.34
-1n = 0.34

Divide each side by '-1'.
n = -0.34

Simplifying
n = -0.34