8(3n+1)=7(6n+6)+7

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Solution for 8(3n+1)=7(6n+6)+7 equation: 


Simplifying
8(3n + 1) = 7(6n + 6) + 7

Reorder the terms:
8(1 + 3n) = 7(6n + 6) + 7
(1 * 8 + 3n * 8) = 7(6n + 6) + 7
(8 + 24n) = 7(6n + 6) + 7

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

Reorder the terms:
8 + 24n = 42 + 7 + 42n

Combine like terms: 42 + 7 = 49
8 + 24n = 49 + 42n

Solving
8 + 24n = 49 + 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.
8 + 24n + -42n = 49 + 42n + -42n

Combine like terms: 24n + -42n = -18n
8 + -18n = 49 + 42n + -42n

Combine like terms: 42n + -42n = 0
8 + -18n = 49 + 0
8 + -18n = 49

Add '-8' to each side of the equation.
8 + -8 + -18n = 49 + -8

Combine like terms: 8 + -8 = 0
0 + -18n = 49 + -8
-18n = 49 + -8

Combine like terms: 49 + -8 = 41
-18n = 41

Divide each side by '-18'.
n = -2.277777778

Simplifying
n = -2.277777778

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