Question

2(n-4)=4(2n+1)

Answer 1

i am thinking you want to solve the equation, right?

Answer 2

If it is then its going to be the following:

Answer 3

2(n-4)=4(2n+1)

Multiply 4 by each term inside the parentheses (2n+1).
2(n-4)=4(2n)+4(1)

Multiply 4 by the 2n inside the parentheses.
2(n-4)=4*2n+4(1)

Multiply 4 by 2n to get 8n.
2(n-4)=8n+4(1)

Multiply 4 by the 1 inside the parentheses.
2(n-4)=8n+4*1

Multiply 4 by 1 to get 4.
2(n-4)=8n+4

Multiply 2 by each term inside the parentheses (n-4).
2(n)+2(-4)=8n+4

Multiply 2 by the n inside the parentheses.
2*n+2(-4)=8n+4

Multiply 2 by n to get 2n.
2n+2(-4)=8n+4

Multiply 2 by the -4 inside the parentheses.
2n-2*4=8n+4

Multiply -2 by 4 to get -8.
2n-8=8n+4

Since 8n contains the variable to solve for, move it to the left-hand side of the equation by subtracting 8n from both sides.
2n-8-8n=4

According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, n is a factor of both 2n and -8n.
(2-8)n-8=4

To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value. In this example, subtract the absolute values of 2 and -8 and give the result the same sign as the integer with the greater absolute value.
(-6)n-8=4

Remove the parentheses.
-6n-8=4

Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides.
-6n=8+4

Add 4 to 8 to get 12.
-6n=12

Divide each term in the equation by -6.
-(6n)/(-6)=(12)/(-6)

Move the minus sign from the denominator to the front of the expression.
-(-(6n)/(6))=(12)/(-6)

Cancel the common factor of 6 in -(6n)/(6).
-(-(<X>6<x>n)/(<X>6<x>))=(12)/(-6)

Remove the common factors that were cancelled out.
-(-n)=(12)/(-6)

Multiply - by the -n inside the parentheses.
-*-n=(12)/(-6)

Multiply - by -n to get n.
n=(12)/(-6)

Move the minus sign from the denominator to the front of the expression.
n=-((12)/(6))

Cancel the common factor of 6 in (12)/(6).
n=-((^(2)<X>12<x>)/(<X>6<x>))

Remove the common factors that were cancelled out.
n=-(2)

Multiply -1 by the 2 inside the parentheses.
n=-2

Answer 4

Thank you so much!

Answer 5

Your Welcome :)

Answer 6

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