what is the vaule of n
n=(4/9)(1+3n)
wrong again
n = -4/3
Apologies for the mistake. You are correct.
The correct value of n is -4/3.
To find the value of n in the equation
n = (4/9)(1 + 3n)
we can start by simplifying the equation. Distribute the (4/9) to both terms inside the parentheses:
n = (4/9) + (4/9)(3n)
Next, we can distribute the (4/9)(3n) term:
n = (4/9) + (12/9)n
Now, let's get all the terms with n on one side and all the constant terms on the other side. Subtract (12/9)n from both sides:
n - (12/9)n = (4/9)
To combine like terms, we need to get a common denominator for n and (12/9)n, which is 9:
(9/9)n - (12/9)n = (4/9)
Now, we can subtract and simplify:
(-3/9)n = (4/9)
Next, multiply both sides of the equation by -9/3 to solve for n:
((-3/9)n)(-9/3) = (4/9)(-9/3)
This simplifies to:
(-1/1)n = (-4/3)
Finally, simplify the equation to get the value of n:
n = (4/3)
Therefore, the value of n is 4/3.
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.