5(2n+4)=8(8n+1)+3

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Solution for 5(2n+4)=8(8n+1)+3 equation: 


Simplifying
5(2n + 4) = 8(8n + 1) + 3

Reorder the terms:
5(4 + 2n) = 8(8n + 1) + 3
(4 * 5 + 2n * 5) = 8(8n + 1) + 3
(20 + 10n) = 8(8n + 1) + 3

Reorder the terms:
20 + 10n = 8(1 + 8n) + 3
20 + 10n = (1 * 8 + 8n * 8) + 3
20 + 10n = (8 + 64n) + 3

Reorder the terms:
20 + 10n = 8 + 3 + 64n

Combine like terms: 8 + 3 = 11
20 + 10n = 11 + 64n

Solving
20 + 10n = 11 + 64n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-64n' to each side of the equation.
20 + 10n + -64n = 11 + 64n + -64n

Combine like terms: 10n + -64n = -54n
20 + -54n = 11 + 64n + -64n

Combine like terms: 64n + -64n = 0
20 + -54n = 11 + 0
20 + -54n = 11

Add '-20' to each side of the equation.
20 + -20 + -54n = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -54n = 11 + -20
-54n = 11 + -20

Combine like terms: 11 + -20 = -9
-54n = -9

Divide each side by '-54'.
n = 0.1666666667

Simplifying
n = 0.1666666667

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