5(2n+5)=8(8n+6)+1

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Solution for 5(2n+5)=8(8n+6)+1 equation: 


Simplifying
5(2n + 5) = 8(8n + 6) + 1

Reorder the terms:
5(5 + 2n) = 8(8n + 6) + 1
(5 * 5 + 2n * 5) = 8(8n + 6) + 1
(25 + 10n) = 8(8n + 6) + 1

Reorder the terms:
25 + 10n = 8(6 + 8n) + 1
25 + 10n = (6 * 8 + 8n * 8) + 1
25 + 10n = (48 + 64n) + 1

Reorder the terms:
25 + 10n = 48 + 1 + 64n

Combine like terms: 48 + 1 = 49
25 + 10n = 49 + 64n

Solving
25 + 10n = 49 + 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.
25 + 10n + -64n = 49 + 64n + -64n

Combine like terms: 10n + -64n = -54n
25 + -54n = 49 + 64n + -64n

Combine like terms: 64n + -64n = 0
25 + -54n = 49 + 0
25 + -54n = 49

Add '-25' to each side of the equation.
25 + -25 + -54n = 49 + -25

Combine like terms: 25 + -25 = 0
0 + -54n = 49 + -25
-54n = 49 + -25

Combine like terms: 49 + -25 = 24
-54n = 24

Divide each side by '-54'.
n = -0.4444444444

Simplifying
n = -0.4444444444

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