Find the difference of (2n-9) - 5 (-2.4n+4)

Answer: 2.071428571

Step-by-step explanation:Simplifying

(2n + - 9) + - 5 (-2.4n + 4) = 0

Reorder the terms:

(-9 + 2n) + - 5 (-2.4n + 4) = 0

Remove parenthesis around (-9 + 2n)

-9 + 2n + - 5 (-2.4n + 4) = 0

Reorder the terms:

-9 + 2n + - 5 (4 + - 2.4n) = 0

-9 + 2n + (4 * - 5 + - 2.4n * - 5) = 0

-9 + 2n + (-20 + 12n) = 0

Reorder the terms:

-9 + - 20 + 2n + 12n = 0

Combine like terms: - 9 + - 20 = - 29

-29 + 2n + 12n = 0

Combine like terms: 2n + 12n = 14n

-29 + 14n = 0

Solving

-29 + 14n = 0

Solving for variable 'n'.

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

Add '29' to each side of the equation.

-29 + 29 + 14n = 0 + 29

Combine like terms: - 29 + 29 = 0

0 + 14n = 0 + 29

14n = 0 + 29

Combine like terms: 0 + 29 = 29

14n = 29

Divide each side by '14'.

n = 2.071428571

Simplifying

n = 2.071428571