.10n+(40+.10n)+(3*.10n)=17.20

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Solution for .10n+(40+.10n)+(3*.10n)=17.20 equation: 


Simplifying
0.10n + (40 + 0.10n) + (3 * 0.10n) = 17.20

Remove parenthesis around (40 + 0.10n)
0.10n + 40 + 0.10n + (3 * 0.10n) = 17.20

Multiply 3 * 0.10
0.10n + 40 + 0.10n + (0.3n) = 17.20

Reorder the terms:
40 + 0.10n + 0.10n + (0.3n) = 17.20

Combine like terms: 0.10n + 0.10n = 0.2n
40 + 0.2n + (0.3n) = 17.20

Combine like terms: 0.2n + (0.3n) = 0.5n
40 + 0.5n = 17.20

Solving
40 + 0.5n = 17.20

Solving for variable 'n'.

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

Add '-40' to each side of the equation.
40 + -40 + 0.5n = 17.20 + -40

Combine like terms: 40 + -40 = 0
0 + 0.5n = 17.20 + -40
0.5n = 17.20 + -40

Combine like terms: 17.20 + -40 = -22.8
0.5n = -22.8

Divide each side by '0.5'.
n = -45.6

Simplifying
n = -45.6

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