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

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


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

Reorder the terms:
4(4 + 2n) = 6(8n + 4) + 3
(4 * 4 + 2n * 4) = 6(8n + 4) + 3
(16 + 8n) = 6(8n + 4) + 3

Reorder the terms:
16 + 8n = 6(4 + 8n) + 3
16 + 8n = (4 * 6 + 8n * 6) + 3
16 + 8n = (24 + 48n) + 3

Reorder the terms:
16 + 8n = 24 + 3 + 48n

Combine like terms: 24 + 3 = 27
16 + 8n = 27 + 48n

Solving
16 + 8n = 27 + 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.
16 + 8n + -48n = 27 + 48n + -48n

Combine like terms: 8n + -48n = -40n
16 + -40n = 27 + 48n + -48n

Combine like terms: 48n + -48n = 0
16 + -40n = 27 + 0
16 + -40n = 27

Add '-16' to each side of the equation.
16 + -16 + -40n = 27 + -16

Combine like terms: 16 + -16 = 0
0 + -40n = 27 + -16
-40n = 27 + -16

Combine like terms: 27 + -16 = 11
-40n = 11

Divide each side by '-40'.
n = -0.275

Simplifying
n = -0.275

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