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

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


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

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

Reorder the terms:
4 + 6n = 6(3 + 8n) + 8
4 + 6n = (3 * 6 + 8n * 6) + 8
4 + 6n = (18 + 48n) + 8

Reorder the terms:
4 + 6n = 18 + 8 + 48n

Combine like terms: 18 + 8 = 26
4 + 6n = 26 + 48n

Solving
4 + 6n = 26 + 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.
4 + 6n + -48n = 26 + 48n + -48n

Combine like terms: 6n + -48n = -42n
4 + -42n = 26 + 48n + -48n

Combine like terms: 48n + -48n = 0
4 + -42n = 26 + 0
4 + -42n = 26

Add '-4' to each side of the equation.
4 + -4 + -42n = 26 + -4

Combine like terms: 4 + -4 = 0
0 + -42n = 26 + -4
-42n = 26 + -4

Combine like terms: 26 + -4 = 22
-42n = 22

Divide each side by '-42'.
n = -0.5238095238

Simplifying
n = -0.5238095238

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