.25(50)+.25n=.10(50+n)

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Solution for .25(50)+.25n=.10(50+n) equation:


Simplifying
0.25(50) + 0.25n = 0.10(50 + n)

Multiply 0.25 * 50
12.5 + 0.25n = 0.10(50 + n)
12.5 + 0.25n = (50 * 0.10 + n * 0.10)
12.5 + 0.25n = (5 + 0.10n)

Solving
12.5 + 0.25n = 5 + 0.10n

Solving for variable 'n'.

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

Add '-0.10n' to each side of the equation.
12.5 + 0.25n + -0.10n = 5 + 0.10n + -0.10n

Combine like terms: 0.25n + -0.10n = 0.15n
12.5 + 0.15n = 5 + 0.10n + -0.10n

Combine like terms: 0.10n + -0.10n = 0.00
12.5 + 0.15n = 5 + 0.00
12.5 + 0.15n = 5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.15n = 5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.15n = 5 + -12.5
0.15n = 5 + -12.5

Combine like terms: 5 + -12.5 = -7.5
0.15n = -7.5

Divide each side by '0.15'.
n = -50

Simplifying
n = -50

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