Question

Simplify the expression 3(3n−6)=−8(1−n), ensuring all exponents are positive.

A) n = -1/3
B) n =1/3
C) n =1
D) n =-1

Answer 1

Upon simplifying the expression 3(3n-6)=-8(1-n), we find that n equals 10, not matching the provided answer choices, which suggests an error in the question or options.

Step-by-step explanation:

To simplify the expression 3(3n−6)=−8(1−n), we distribute the numbers outside the parentheses and get 9n - 18 = -8 + 8n. We then isolate the variable n to solve for its value. First, subtract 8n from both sides to get n on one side of the equation, resulting in 9n - 8n - 18 = -8. Then simplify the exponents and coefficients on both sides. We get n - 18 = -8. Next, add 18 to both sides of the equation to get n by itself, which gives us n = 10. Among the provided choices, there does not seem to be a correct option; hence, it seems there might be an error in the question or the options provided. However, if we solve the equation without considering the options given, we find that the value of n in this equation is 10.