8(3n-5)=(4n+9)+7

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Solution for 8(3n-5)=(4n+9)+7 equation:


Simplifying
8(3n + -5) = (4n + 9) + 7

Reorder the terms:
8(-5 + 3n) = (4n + 9) + 7
(-5 * 8 + 3n * 8) = (4n + 9) + 7
(-40 + 24n) = (4n + 9) + 7

Reorder the terms:
-40 + 24n = (9 + 4n) + 7

Remove parenthesis around (9 + 4n)
-40 + 24n = 9 + 4n + 7

Reorder the terms:
-40 + 24n = 9 + 7 + 4n

Combine like terms: 9 + 7 = 16
-40 + 24n = 16 + 4n

Solving
-40 + 24n = 16 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-40 + 24n + -4n = 16 + 4n + -4n

Combine like terms: 24n + -4n = 20n
-40 + 20n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
-40 + 20n = 16 + 0
-40 + 20n = 16

Add '40' to each side of the equation.
-40 + 40 + 20n = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 20n = 16 + 40
20n = 16 + 40

Combine like terms: 16 + 40 = 56
20n = 56

Divide each side by '20'.
n = 2.8

Simplifying
n = 2.8

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