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12n=9(n+10) - Algebra - Solve Equation

by Lilly
(Brooklyn, NY)










































Solve Equation for n.

12n = 9(n + 10)


Begin by expanding the expression on the right hand side of the equation using the distributive law.

This will “remove the parentheses”.

Comments for 12n=9(n+10) - Algebra - Solve Equation

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Dec 18, 2011
Solve Equation - 3 steps
by: Staff


Question:

by Lilly
(Brooklyn, NY)


12n=9(n+10)



Answer:

12n = 9(n + 10)


Begin by expanding the expression on the right hand side of the equation using the distributive law. This will “remove the parentheses”.

12n = (9*n) + (9*10)

12n = 9n + 90


Subtract 9n from each side of the equation. This will “remove the variable n from the right side of the equation”.

12n - 9n = 9n + 90 - 9n

3n = 9n + 90 - 9n

3n = 9n - 9n + 90

3n = 0 + 90

3n = 90


Divide each side of the equation by 3. This will “remove the 3 from the left side of the equation”.

3n/3 = 90/3

n*(3/3) = 90/3

n*(1) = 90/3

n = 90/3

n = 30



the FINAL ANSWER is: n = 30


Check the answer by substituting 30 for n in the original equation:

12n = 9(n + 10)

12*30 = 9(30 + 10)

360 = 9(30 + 10)

360 = 360, OK → n = 30 is a VALID solution



Thanks for writing.


Staff
www.solving-math-problems.com



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