0.6(n-6)=5n-43

Solution for 0.6(n-6)=5n-43 equation:

Simplifying
0.6(n + -6) = 5n + -43

Reorder the terms:
0.6(-6 + n) = 5n + -43
(-6 * 0.6 + n * 0.6) = 5n + -43
(-3.6 + 0.6n) = 5n + -43

Reorder the terms:
-3.6 + 0.6n = -43 + 5n

Solving
-3.6 + 0.6n = -43 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-3.6 + 0.6n + -5n = -43 + 5n + -5n

Combine like terms: 0.6n + -5n = -4.4n
-3.6 + -4.4n = -43 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3.6 + -4.4n = -43 + 0
-3.6 + -4.4n = -43

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -4.4n = -43 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -4.4n = -43 + 3.6
-4.4n = -43 + 3.6

Combine like terms: -43 + 3.6 = -39.4
-4.4n = -39.4

Divide each side by '-4.4'.
n = 8.954545455

Simplifying
n = 8.954545455