2(3n+4)=6(8n+9)+1

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Solution for 2(3n+4)=6(8n+9)+1 equation:


Simplifying
2(3n + 4) = 6(8n + 9) + 1

Reorder the terms:
2(4 + 3n) = 6(8n + 9) + 1
(4 * 2 + 3n * 2) = 6(8n + 9) + 1
(8 + 6n) = 6(8n + 9) + 1

Reorder the terms:
8 + 6n = 6(9 + 8n) + 1
8 + 6n = (9 * 6 + 8n * 6) + 1
8 + 6n = (54 + 48n) + 1

Reorder the terms:
8 + 6n = 54 + 1 + 48n

Combine like terms: 54 + 1 = 55
8 + 6n = 55 + 48n

Solving
8 + 6n = 55 + 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.
8 + 6n + -48n = 55 + 48n + -48n

Combine like terms: 6n + -48n = -42n
8 + -42n = 55 + 48n + -48n

Combine like terms: 48n + -48n = 0
8 + -42n = 55 + 0
8 + -42n = 55

Add '-8' to each side of the equation.
8 + -8 + -42n = 55 + -8

Combine like terms: 8 + -8 = 0
0 + -42n = 55 + -8
-42n = 55 + -8

Combine like terms: 55 + -8 = 47
-42n = 47

Divide each side by '-42'.
n = -1.119047619

Simplifying
n = -1.119047619

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