n-52=-3.2(18+n)

Solution for n-52=-3.2(18+n) equation:

Simplifying
n + -52 = -3.2(18 + n)

Reorder the terms:
-52 + n = -3.2(18 + n)
-52 + n = (18 * -3.2 + n * -3.2)
-52 + n = (-57.6 + -3.2n)

Solving
-52 + n = -57.6 + -3.2n

Solving for variable 'n'.

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

Add '3.2n' to each side of the equation.
-52 + n + 3.2n = -57.6 + -3.2n + 3.2n

Combine like terms: n + 3.2n = 4.2n
-52 + 4.2n = -57.6 + -3.2n + 3.2n

Combine like terms: -3.2n + 3.2n = 0.0
-52 + 4.2n = -57.6 + 0.0
-52 + 4.2n = -57.6

Add '52' to each side of the equation.
-52 + 52 + 4.2n = -57.6 + 52

Combine like terms: -52 + 52 = 0
0 + 4.2n = -57.6 + 52
4.2n = -57.6 + 52

Combine like terms: -57.6 + 52 = -5.6
4.2n = -5.6

Divide each side by '4.2'.
n = -1.333333333

Simplifying
n = -1.333333333