Question

Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Answer 1

`(1)/(7) -3((3)/(7)h -(2)/(7)) = (7-9h)/(7)`

Solution:

Given expression is:

`(1)/(7) -3((3)/(7)h -(2)/(7))`

We have to combine the like terms

From given expression,

`(1)/(7) -3((3)/(7)h -(2)/(7))`

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

`(1)/(7) - (3 * (3)/(7)h) + (3 * (2)/(7))\\\\(1)/(7) - (9h)/(7) + (6)/(7)`

Add 1/7 and 6/7

`(1)/(7) + (6)/(7) -(9h)/(7)\\\\(1+6)/(7) -(9h)/(7)\\\\Simplify\\\\(7)/(7)-(9h)/(7)\\\\1-(9h)/(7)\\\\Simplify\\\\(7-9h)/(7)`

Thus the equivalent expression is found