0.10n+0.05(2n)+0.25(n-3)=11.10

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Solution for 0.10n+0.05(2n)+0.25(n-3)=11.10 equation: 


Simplifying
0.10n + 0.05(2n) + 0.25(n + -3) = 11.10

Remove parenthesis around (2n)
0.10n + 0.05 * 2n + 0.25(n + -3) = 11.10

Multiply 0.05 * 2
0.10n + 0.1n + 0.25(n + -3) = 11.10

Reorder the terms:
0.10n + 0.1n + 0.25(-3 + n) = 11.10
0.10n + 0.1n + (-3 * 0.25 + n * 0.25) = 11.10
0.10n + 0.1n + (-0.75 + 0.25n) = 11.10

Reorder the terms:
-0.75 + 0.10n + 0.1n + 0.25n = 11.10

Combine like terms: 0.10n + 0.1n = 0.2n
-0.75 + 0.2n + 0.25n = 11.10

Combine like terms: 0.2n + 0.25n = 0.45n
-0.75 + 0.45n = 11.10

Solving
-0.75 + 0.45n = 11.10

Solving for variable 'n'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.45n = 11.10 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.45n = 11.10 + 0.75
0.45n = 11.10 + 0.75

Combine like terms: 11.10 + 0.75 = 11.85
0.45n = 11.85

Divide each side by '0.45'.
n = 26.33333333

Simplifying
n = 26.33333333

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