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

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


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

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

Reorder the terms:
40 + 24n = 8(8 + 9n) + 4
40 + 24n = (8 * 8 + 9n * 8) + 4
40 + 24n = (64 + 72n) + 4

Reorder the terms:
40 + 24n = 64 + 4 + 72n

Combine like terms: 64 + 4 = 68
40 + 24n = 68 + 72n

Solving
40 + 24n = 68 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
40 + 24n + -72n = 68 + 72n + -72n

Combine like terms: 24n + -72n = -48n
40 + -48n = 68 + 72n + -72n

Combine like terms: 72n + -72n = 0
40 + -48n = 68 + 0
40 + -48n = 68

Add '-40' to each side of the equation.
40 + -40 + -48n = 68 + -40

Combine like terms: 40 + -40 = 0
0 + -48n = 68 + -40
-48n = 68 + -40

Combine like terms: 68 + -40 = 28
-48n = 28

Divide each side by '-48'.
n = -0.5833333333

Simplifying
n = -0.5833333333

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