14.65+0.09(n+3)=15.15-0.12n

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Solution for 14.65+0.09(n+3)=15.15-0.12n equation: 


Simplifying
14.65 + 0.09(n + 3) = 15.15 + -0.12n

Reorder the terms:
14.65 + 0.09(3 + n) = 15.15 + -0.12n
14.65 + (3 * 0.09 + n * 0.09) = 15.15 + -0.12n
14.65 + (0.27 + 0.09n) = 15.15 + -0.12n

Combine like terms: 14.65 + 0.27 = 14.92
14.92 + 0.09n = 15.15 + -0.12n

Solving
14.92 + 0.09n = 15.15 + -0.12n

Solving for variable 'n'.

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

Add '0.12n' to each side of the equation.
14.92 + 0.09n + 0.12n = 15.15 + -0.12n + 0.12n

Combine like terms: 0.09n + 0.12n = 0.21n
14.92 + 0.21n = 15.15 + -0.12n + 0.12n

Combine like terms: -0.12n + 0.12n = 0.00
14.92 + 0.21n = 15.15 + 0.00
14.92 + 0.21n = 15.15

Add '-14.92' to each side of the equation.
14.92 + -14.92 + 0.21n = 15.15 + -14.92

Combine like terms: 14.92 + -14.92 = 0.00
0.00 + 0.21n = 15.15 + -14.92
0.21n = 15.15 + -14.92

Combine like terms: 15.15 + -14.92 = 0.23
0.21n = 0.23

Divide each side by '0.21'.
n = 1.095238095

Simplifying
n = 1.095238095

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