If n represent number than write an expression for three times the difference of the number amd six increased by four times the number

Let n be the number. The difference of the number and six is n-6. Then three times the difference of the number and six is 3·(n-6). This number 3·(n-6) increased by four times the number n, then

3·(n-6)=4·n.

Solve it:

3·n-3·6=4n,

3n-4n=18,

-n=18,

n=-18.

n=-18 and expression is 3·(n-6)=4·n.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: