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Mathematics
11 March, 13:47
Find the difference of (2n-9) - 5 (-2.4n+4)
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Dominick Lamb
11 March, 13:58
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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
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