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

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


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

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

Reorder the terms:
16 + 24n = 7(6 + 7n) + 6
16 + 24n = (6 * 7 + 7n * 7) + 6
16 + 24n = (42 + 49n) + 6

Reorder the terms:
16 + 24n = 42 + 6 + 49n

Combine like terms: 42 + 6 = 48
16 + 24n = 48 + 49n

Solving
16 + 24n = 48 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
16 + 24n + -49n = 48 + 49n + -49n

Combine like terms: 24n + -49n = -25n
16 + -25n = 48 + 49n + -49n

Combine like terms: 49n + -49n = 0
16 + -25n = 48 + 0
16 + -25n = 48

Add '-16' to each side of the equation.
16 + -16 + -25n = 48 + -16

Combine like terms: 16 + -16 = 0
0 + -25n = 48 + -16
-25n = 48 + -16

Combine like terms: 48 + -16 = 32
-25n = 32

Divide each side by '-25'.
n = -1.28

Simplifying
n = -1.28

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