5(15n+5)=8n-9

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Solution for 5(15n+5)=8n-9 equation:


Simplifying
5(15n + 5) = 8n + -9

Reorder the terms:
5(5 + 15n) = 8n + -9
(5 * 5 + 15n * 5) = 8n + -9
(25 + 75n) = 8n + -9

Reorder the terms:
25 + 75n = -9 + 8n

Solving
25 + 75n = -9 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
25 + 75n + -8n = -9 + 8n + -8n

Combine like terms: 75n + -8n = 67n
25 + 67n = -9 + 8n + -8n

Combine like terms: 8n + -8n = 0
25 + 67n = -9 + 0
25 + 67n = -9

Add '-25' to each side of the equation.
25 + -25 + 67n = -9 + -25

Combine like terms: 25 + -25 = 0
0 + 67n = -9 + -25
67n = -9 + -25

Combine like terms: -9 + -25 = -34
67n = -34

Divide each side by '67'.
n = -0.5074626866

Simplifying
n = -0.5074626866

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