1.5n+(-2+0.5)=3-2(4.5+0.5)

Solution for 1.5n+(-2+0.5)=3-2(4.5+0.5) equation:

Simplifying
1.5n + (-2 + 0.5) = 3 + -2(4.5 + 0.5)

Combine like terms: -2 + 0.5 = -1.5
1.5n + (-1.5) = 3 + -2(4.5 + 0.5)
1.5n + -1.5 = 3 + -2(4.5 + 0.5)

Reorder the terms:
-1.5 + 1.5n = 3 + -2(4.5 + 0.5)

Combine like terms: 4.5 + 0.5 = 5
-1.5 + 1.5n = 3 + -2(5)

Multiply -2 * 5
-1.5 + 1.5n = 3 + -10

Combine like terms: 3 + -10 = -7
-1.5 + 1.5n = -7

Solving
-1.5 + 1.5n = -7

Solving for variable 'n'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.5n = -7 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.5n = -7 + 1.5
1.5n = -7 + 1.5

Combine like terms: -7 + 1.5 = -5.5
1.5n = -5.5

Divide each side by '1.5'.
n = -3.666666667

Simplifying
n = -3.666666667