8(3n+2)=6(7n+4)+8

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Solution for 8(3n+2)=6(7n+4)+8 equation: 


Simplifying
8(3n + 2) = 6(7n + 4) + 8

Reorder the terms:
8(2 + 3n) = 6(7n + 4) + 8
(2 * 8 + 3n * 8) = 6(7n + 4) + 8
(16 + 24n) = 6(7n + 4) + 8

Reorder the terms:
16 + 24n = 6(4 + 7n) + 8
16 + 24n = (4 * 6 + 7n * 6) + 8
16 + 24n = (24 + 42n) + 8

Reorder the terms:
16 + 24n = 24 + 8 + 42n

Combine like terms: 24 + 8 = 32
16 + 24n = 32 + 42n

Solving
16 + 24n = 32 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
16 + 24n + -42n = 32 + 42n + -42n

Combine like terms: 24n + -42n = -18n
16 + -18n = 32 + 42n + -42n

Combine like terms: 42n + -42n = 0
16 + -18n = 32 + 0
16 + -18n = 32

Add '-16' to each side of the equation.
16 + -16 + -18n = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -18n = 32 + -16
-18n = 32 + -16

Combine like terms: 32 + -16 = 16
-18n = 16

Divide each side by '-18'.
n = -0.8888888889

Simplifying
n = -0.8888888889

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