6(2n+3)=6(8n+3)+1

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Solution for 6(2n+3)=6(8n+3)+1 equation: 


Simplifying
6(2n + 3) = 6(8n + 3) + 1

Reorder the terms:
6(3 + 2n) = 6(8n + 3) + 1
(3 * 6 + 2n * 6) = 6(8n + 3) + 1
(18 + 12n) = 6(8n + 3) + 1

Reorder the terms:
18 + 12n = 6(3 + 8n) + 1
18 + 12n = (3 * 6 + 8n * 6) + 1
18 + 12n = (18 + 48n) + 1

Reorder the terms:
18 + 12n = 18 + 1 + 48n

Combine like terms: 18 + 1 = 19
18 + 12n = 19 + 48n

Solving
18 + 12n = 19 + 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.
18 + 12n + -48n = 19 + 48n + -48n

Combine like terms: 12n + -48n = -36n
18 + -36n = 19 + 48n + -48n

Combine like terms: 48n + -48n = 0
18 + -36n = 19 + 0
18 + -36n = 19

Add '-18' to each side of the equation.
18 + -18 + -36n = 19 + -18

Combine like terms: 18 + -18 = 0
0 + -36n = 19 + -18
-36n = 19 + -18

Combine like terms: 19 + -18 = 1
-36n = 1

Divide each side by '-36'.
n = -0.02777777778

Simplifying
n = -0.02777777778

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