what is the vaule of n

Question

n=(4/9)(1+3n)

Answer 1

To find the value of n, we can solve the equation:

n = (4/9)(1 + 3n)

First, distribute 4/9 to both terms inside the parentheses:

n = (4/9) + (4/3)n

Next, move all the terms involving n to the left side of the equation and the constant term to the right side:

(4/3)n - n = (4/9)

Combine the terms on the left side:

(-5/9)n = (4/9)

To solve for n, divide both sides of the equation by -(5/9):

n = (4/9) / -(5/9)

Dividing by a fraction is equivalent to multiplying by its reciprocal:

n = (4/9) * (-9/5)

Simplify the right side:

n = -36/45

Reduce the fraction:

n = -4/5

Therefore, the value of n is -4/5.

Answer 2

wrong again
n = -4/3

Answer 3

Apologies for the mistake. You are correct.

The correct value of n is -4/3.