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

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


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

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

Reorder the terms:
24 + 24n = 6(7 + 8n) + 7
24 + 24n = (7 * 6 + 8n * 6) + 7
24 + 24n = (42 + 48n) + 7

Reorder the terms:
24 + 24n = 42 + 7 + 48n

Combine like terms: 42 + 7 = 49
24 + 24n = 49 + 48n

Solving
24 + 24n = 49 + 48n

Solving for variable 'n'.

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

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

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

Combine like terms: 48n + -48n = 0
24 + -24n = 49 + 0
24 + -24n = 49

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

Combine like terms: 24 + -24 = 0
0 + -24n = 49 + -24
-24n = 49 + -24

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

Divide each side by '-24'.
n = -1.041666667

Simplifying
n = -1.041666667

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