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

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


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

Reorder the terms:
6(4 + 3n) = 6(8n + 6) + 3
(4 * 6 + 3n * 6) = 6(8n + 6) + 3
(24 + 18n) = 6(8n + 6) + 3

Reorder the terms:
24 + 18n = 6(6 + 8n) + 3
24 + 18n = (6 * 6 + 8n * 6) + 3
24 + 18n = (36 + 48n) + 3

Reorder the terms:
24 + 18n = 36 + 3 + 48n

Combine like terms: 36 + 3 = 39
24 + 18n = 39 + 48n

Solving
24 + 18n = 39 + 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 + 18n + -48n = 39 + 48n + -48n

Combine like terms: 18n + -48n = -30n
24 + -30n = 39 + 48n + -48n

Combine like terms: 48n + -48n = 0
24 + -30n = 39 + 0
24 + -30n = 39

Add '-24' to each side of the equation.
24 + -24 + -30n = 39 + -24

Combine like terms: 24 + -24 = 0
0 + -30n = 39 + -24
-30n = 39 + -24

Combine like terms: 39 + -24 = 15
-30n = 15

Divide each side by '-30'.
n = -0.5

Simplifying
n = -0.5

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