Question

Solve 12(−4+6n)=13n−23(n−9). Check your solution.

a) n=−2.3
b) n=1.8
c) n=−0.5
d) n=3.2

Answer 1

To solve the equation, distribute and simplify the equation, combine like terms, and isolate the variable. The solution is approximately n=1.939.

Step-by-step explanation:

To solve the equation 12(-4+6n)=13n-23(n-9), we need to distribute and simplify the equation.

First, distribute -23 to (n-9):

12(-4+6n)=13n-23n+207

Next, distribute 12 to -4 and 6n:

-48+72n=13n-23n+207

Combine the like terms:

72n-13n+23n=-48+207

82n=159

Divide both sides by 82:

n=1.939

Since none of the options given matches this value, there may be an error in the options or the equation was not correctly simplified.