Question

What value of n makes the equation 4(0.5n - 3) = n - 0.25(12 - 8n) true

Answer 1

Step-by-step explanation:

4(0.5n-3)=-0.25(12-8n)

We move all terms to the left

4(0.5n-3)-(-0.25(12-8n))=0

We add all the numbers together, and all the variables

4(0.5n-3)-(-0.25(-8n+12))=0

We multiply parentheses

0n-(-0.25(-8n+12))-12=0

We calculate terms in parentheses: -(-0.25(-8n+12)), so:

-0.25(-8n+12)

We multiply parentheses

2n-3

Back to the equation:

-(2n-3)

We add all the numbers together, and all the variables

n-(2n-3)-12=0

We get rid of parentheses

n-2n+3-12=0

We get rid of parentheses

n-2n+3-12=0

We add all the numbers together, and all the variables

-1n-9=0

We move all terms containing n to the left, all other terms to the right

-n=9

n=9/-1

n=-9