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

1 Answer

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(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

User David Hollinshead
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