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

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Solution for (2n-9)-5(-2.4n+4)=0 equation:


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

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