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

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


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

Reorder the terms:
8(4 + 3n) = 9(5n + 8) + 8
(4 * 8 + 3n * 8) = 9(5n + 8) + 8
(32 + 24n) = 9(5n + 8) + 8

Reorder the terms:
32 + 24n = 9(8 + 5n) + 8
32 + 24n = (8 * 9 + 5n * 9) + 8
32 + 24n = (72 + 45n) + 8

Reorder the terms:
32 + 24n = 72 + 8 + 45n

Combine like terms: 72 + 8 = 80
32 + 24n = 80 + 45n

Solving
32 + 24n = 80 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
32 + 24n + -45n = 80 + 45n + -45n

Combine like terms: 24n + -45n = -21n
32 + -21n = 80 + 45n + -45n

Combine like terms: 45n + -45n = 0
32 + -21n = 80 + 0
32 + -21n = 80

Add '-32' to each side of the equation.
32 + -32 + -21n = 80 + -32

Combine like terms: 32 + -32 = 0
0 + -21n = 80 + -32
-21n = 80 + -32

Combine like terms: 80 + -32 = 48
-21n = 48

Divide each side by '-21'.
n = -2.285714286

Simplifying
n = -2.285714286

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