10n+12=14n-12
http://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.7680.html
n=0
To solve the equation 10n + 12 = 14n - 12, follow these steps:
Step 1: Simplify both sides of the equation
On the left side, combine like terms by adding or subtracting. Since there is only one term on the left side, which is 12, it remains as it is.
On the right side, combine like terms by adding or subtracting. Here, you have 14n and -12. Combine them to get 14n - 12.
After simplification, the equation becomes:
12 = 14n - 12
Step 2: Isolate the variable
To isolate the variable (n), you need to move the constant term on the right side to the left side. In this case, move -12 to the left side by adding it to both sides of the equation.
12 + 12 = 14n - 12 + 12
Simplifying the equation gives:
24 = 14n
Step 3: Solve for n
Divide both sides of the equation by 14 to solve for n.
24/14 = 14n/14
Simplifying further,
24/14 = n
The final answer is:
n = 12/7 (rational number) or approximately 1.71 (decimal approximation).