8(3n+4)=7(5n+8)+6

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Solution for 8(3n+4)=7(5n+8)+6 equation: 


Simplifying
8(3n + 4) = 7(5n + 8) + 6

Reorder the terms:
8(4 + 3n) = 7(5n + 8) + 6
(4 * 8 + 3n * 8) = 7(5n + 8) + 6
(32 + 24n) = 7(5n + 8) + 6

Reorder the terms:
32 + 24n = 7(8 + 5n) + 6
32 + 24n = (8 * 7 + 5n * 7) + 6
32 + 24n = (56 + 35n) + 6

Reorder the terms:
32 + 24n = 56 + 6 + 35n

Combine like terms: 56 + 6 = 62
32 + 24n = 62 + 35n

Solving
32 + 24n = 62 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
32 + 24n + -35n = 62 + 35n + -35n

Combine like terms: 24n + -35n = -11n
32 + -11n = 62 + 35n + -35n

Combine like terms: 35n + -35n = 0
32 + -11n = 62 + 0
32 + -11n = 62

Add '-32' to each side of the equation.
32 + -32 + -11n = 62 + -32

Combine like terms: 32 + -32 = 0
0 + -11n = 62 + -32
-11n = 62 + -32

Combine like terms: 62 + -32 = 30
-11n = 30

Divide each side by '-11'.
n = -2.727272727

Simplifying
n = -2.727272727

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