-0.5(n-12)=10.5

Solution for -0.5(n-12)=10.5 equation:

Simplifying
-0.5(n + -12) = 10.5

Reorder the terms:
-0.5(-12 + n) = 10.5
(-12 * -0.5 + n * -0.5) = 10.5
(6 + -0.5n) = 10.5

Solving
6 + -0.5n = 10.5

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + -0.5n = 10.5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5n = 10.5 + -6
-0.5n = 10.5 + -6

Combine like terms: 10.5 + -6 = 4.5
-0.5n = 4.5

Divide each side by '-0.5'.
n = -9

Simplifying
n = -9