.10n+.25(n+6)=4.65

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Solution for .10n+.25(n+6)=4.65 equation: 


Simplifying
0.10n + 0.25(n + 6) = 4.65

Reorder the terms:
0.10n + 0.25(6 + n) = 4.65
0.10n + (6 * 0.25 + n * 0.25) = 4.65
0.10n + (1.5 + 0.25n) = 4.65

Reorder the terms:
1.5 + 0.10n + 0.25n = 4.65

Combine like terms: 0.10n + 0.25n = 0.35n
1.5 + 0.35n = 4.65

Solving
1.5 + 0.35n = 4.65

Solving for variable 'n'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.35n = 4.65 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.35n = 4.65 + -1.5
0.35n = 4.65 + -1.5

Combine like terms: 4.65 + -1.5 = 3.15
0.35n = 3.15

Divide each side by '0.35'.
n = 9

Simplifying
n = 9

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