15(n+.50)=25(n+.25)

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Solution for 15(n+.50)=25(n+.25) equation:


Simplifying
15(n + 0.50) = 25(n + 0.25)

Reorder the terms:
15(0.50 + n) = 25(n + 0.25)
(0.50 * 15 + n * 15) = 25(n + 0.25)
(7.5 + 15n) = 25(n + 0.25)

Reorder the terms:
7.5 + 15n = 25(0.25 + n)
7.5 + 15n = (0.25 * 25 + n * 25)
7.5 + 15n = (6.25 + 25n)

Solving
7.5 + 15n = 6.25 + 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
7.5 + 15n + -25n = 6.25 + 25n + -25n

Combine like terms: 15n + -25n = -10n
7.5 + -10n = 6.25 + 25n + -25n

Combine like terms: 25n + -25n = 0
7.5 + -10n = 6.25 + 0
7.5 + -10n = 6.25

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -10n = 6.25 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -10n = 6.25 + -7.5
-10n = 6.25 + -7.5

Combine like terms: 6.25 + -7.5 = -1.25
-10n = -1.25

Divide each side by '-10'.
n = 0.125

Simplifying
n = 0.125

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