-53.6=-2(-5n+1.8)

Solution for -53.6=-2(-5n+1.8) equation:

Simplifying
-53.6 = -2(-5n + 1.8)

Reorder the terms:
-53.6 = -2(1.8 + -5n)
-53.6 = (1.8 * -2 + -5n * -2)
-53.6 = (-3.6 + 10n)

Solving
-53.6 = -3.6 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-53.6 + -10n = -3.6 + 10n + -10n

Combine like terms: 10n + -10n = 0
-53.6 + -10n = -3.6 + 0
-53.6 + -10n = -3.6

Add '53.6' to each side of the equation.
-53.6 + 53.6 + -10n = -3.6 + 53.6

Combine like terms: -53.6 + 53.6 = 0.0
0.0 + -10n = -3.6 + 53.6
-10n = -3.6 + 53.6

Combine like terms: -3.6 + 53.6 = 50
-10n = 50

Divide each side by '-10'.
n = -5

Simplifying
n = -5