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

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


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

Reorder the terms:
5(4 + 3n) = 8(8n + 5) + 8
(4 * 5 + 3n * 5) = 8(8n + 5) + 8
(20 + 15n) = 8(8n + 5) + 8

Reorder the terms:
20 + 15n = 8(5 + 8n) + 8
20 + 15n = (5 * 8 + 8n * 8) + 8
20 + 15n = (40 + 64n) + 8

Reorder the terms:
20 + 15n = 40 + 8 + 64n

Combine like terms: 40 + 8 = 48
20 + 15n = 48 + 64n

Solving
20 + 15n = 48 + 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 + 15n + -64n = 48 + 64n + -64n

Combine like terms: 15n + -64n = -49n
20 + -49n = 48 + 64n + -64n

Combine like terms: 64n + -64n = 0
20 + -49n = 48 + 0
20 + -49n = 48

Add '-20' to each side of the equation.
20 + -20 + -49n = 48 + -20

Combine like terms: 20 + -20 = 0
0 + -49n = 48 + -20
-49n = 48 + -20

Combine like terms: 48 + -20 = 28
-49n = 28

Divide each side by '-49'.
n = -0.5714285714

Simplifying
n = -0.5714285714

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