.05n+.01(12+n)+1(n-5)=9.95

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Solution for .05n+.01(12+n)+1(n-5)=9.95 equation: 


Simplifying
0.05n + 0.01(12 + n) + 1(n + -5) = 9.95
0.05n + (12 * 0.01 + n * 0.01) + 1(n + -5) = 9.95
0.05n + (0.12 + 0.01n) + 1(n + -5) = 9.95

Reorder the terms:
0.05n + 0.12 + 0.01n + 1(-5 + n) = 9.95
0.05n + 0.12 + 0.01n + (-5 * 1 + n * 1) = 9.95
0.05n + 0.12 + 0.01n + (-5 + 1n) = 9.95

Reorder the terms:
0.12 + -5 + 0.05n + 0.01n + 1n = 9.95

Combine like terms: 0.12 + -5 = -4.88
-4.88 + 0.05n + 0.01n + 1n = 9.95

Combine like terms: 0.05n + 0.01n = 0.06n
-4.88 + 0.06n + 1n = 9.95

Combine like terms: 0.06n + 1n = 1.06n
-4.88 + 1.06n = 9.95

Solving
-4.88 + 1.06n = 9.95

Solving for variable 'n'.

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

Add '4.88' to each side of the equation.
-4.88 + 4.88 + 1.06n = 9.95 + 4.88

Combine like terms: -4.88 + 4.88 = 0.00
0.00 + 1.06n = 9.95 + 4.88
1.06n = 9.95 + 4.88

Combine like terms: 9.95 + 4.88 = 14.83
1.06n = 14.83

Divide each side by '1.06'.
n = 13.99056604

Simplifying
n = 13.99056604

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