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