.10(.05)+(n-8)(.10)=2.35

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Solution for .10(.05)+(n-8)(.10)=2.35 equation: 


Simplifying
0.10(0.05) + (n + -8)(0.10) = 2.35

Multiply 0.10 * 0.05
0.005 + (n + -8)(0.10) = 2.35

Reorder the terms:
0.005 + (-8 + n)(0.10) = 2.35

Reorder the terms for easier multiplication:
0.005 + 0.10(-8 + n) = 2.35
0.005 + (-8 * 0.10 + n * 0.10) = 2.35
0.005 + (-0.8 + 0.10n) = 2.35

Combine like terms: 0.005 + -0.8 = -0.795
-0.795 + 0.10n = 2.35

Solving
-0.795 + 0.10n = 2.35

Solving for variable 'n'.

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

Add '0.795' to each side of the equation.
-0.795 + 0.795 + 0.10n = 2.35 + 0.795

Combine like terms: -0.795 + 0.795 = 0.000
0.000 + 0.10n = 2.35 + 0.795
0.10n = 2.35 + 0.795

Combine like terms: 2.35 + 0.795 = 3.145
0.10n = 3.145

Divide each side by '0.10'.
n = 31.45

Simplifying
n = 31.45

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