178.25=-5.1(-1.9+7n)-3.5n

Solution for 178.25=-5.1(-1.9+7n)-3.5n equation:

178.25=-5.1(-1.9+7n)-3.5n

We move all terms to the left:

178.25-(-5.1(-1.9+7n)-3.5n)=0

We add all the numbers together, and all the variables

-(-5.1(7n-1.9)-3.5n)+178.25=0


We calculate terms in parentheses: -(-5.1(7n-1.9)-3.5n), so:

-5.1(7n-1.9)-3.5n

We add all the numbers together, and all the variables

-3.5n-5.1(7n-1.9)

We multiply parentheses

-3.5n-35.7n+9.69

We add all the numbers together, and all the variables

-39.2n+9.69

Back to the equation:

-(-39.2n+9.69)


We get rid of parentheses

39.2n-9.69+178.25=0

We add all the numbers together, and all the variables

39.2n+168.56=0

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

39.2n=-168.56

n=-168.56/39.2

n=-4+6.6818181818182/22.272727272727