102=3(n-1)+4n

Solution for 102=3(n-1)+4n equation:

102=3(n-1)+4n

We move all terms to the left:

102-(3(n-1)+4n)=0


We calculate terms in parentheses: -(3(n-1)+4n), so:

3(n-1)+4n

We add all the numbers together, and all the variables

4n+3(n-1)

We multiply parentheses

4n+3n-3

We add all the numbers together, and all the variables

7n-3

Back to the equation:

-(7n-3)


We get rid of parentheses

-7n+3+102=0

We add all the numbers together, and all the variables

-7n+105=0

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

-7n=-105

n=-105/-7

n=+15