0.69(10n+25)=10+5n

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Solution for 0.69(10n+25)=10+5n equation: 


Simplifying
0.69(10n + 25) = 10 + 5n

Reorder the terms:
0.69(25 + 10n) = 10 + 5n
(25 * 0.69 + 10n * 0.69) = 10 + 5n
(17.25 + 6.9n) = 10 + 5n

Solving
17.25 + 6.9n = 10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
17.25 + 6.9n + -5n = 10 + 5n + -5n

Combine like terms: 6.9n + -5n = 1.9n
17.25 + 1.9n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
17.25 + 1.9n = 10 + 0
17.25 + 1.9n = 10

Add '-17.25' to each side of the equation.
17.25 + -17.25 + 1.9n = 10 + -17.25

Combine like terms: 17.25 + -17.25 = 0.00
0.00 + 1.9n = 10 + -17.25
1.9n = 10 + -17.25

Combine like terms: 10 + -17.25 = -7.25
1.9n = -7.25

Divide each side by '1.9'.
n = -3.815789474

Simplifying
n = -3.815789474

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