-(-3.6n+.333)=2.6+2.5(8n+.166)

Solution for -(-3.6n+.333)=2.6+2.5(8n+.166) equation:

Simplifying
-1(-3.6n + 0.333) = 2.6 + 2.5(8n + 0.166)

Reorder the terms:
-1(0.333 + -3.6n) = 2.6 + 2.5(8n + 0.166)
(0.333 * -1 + -3.6n * -1) = 2.6 + 2.5(8n + 0.166)
(-0.333 + 3.6n) = 2.6 + 2.5(8n + 0.166)

Reorder the terms:
-0.333 + 3.6n = 2.6 + 2.5(0.166 + 8n)
-0.333 + 3.6n = 2.6 + (0.166 * 2.5 + 8n * 2.5)
-0.333 + 3.6n = 2.6 + (0.415 + 20n)

Combine like terms: 2.6 + 0.415 = 3.015
-0.333 + 3.6n = 3.015 + 20n

Solving
-0.333 + 3.6n = 3.015 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-0.333 + 3.6n + -20n = 3.015 + 20n + -20n

Combine like terms: 3.6n + -20n = -16.4n
-0.333 + -16.4n = 3.015 + 20n + -20n

Combine like terms: 20n + -20n = 0
-0.333 + -16.4n = 3.015 + 0
-0.333 + -16.4n = 3.015

Add '0.333' to each side of the equation.
-0.333 + 0.333 + -16.4n = 3.015 + 0.333

Combine like terms: -0.333 + 0.333 = 0.000
0.000 + -16.4n = 3.015 + 0.333
-16.4n = 3.015 + 0.333

Combine like terms: 3.015 + 0.333 = 3.348
-16.4n = 3.348

Divide each side by '-16.4'.
n = -0.2041463415

Simplifying
n = -0.2041463415