Exercise 3 Page 244

The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. - 6 + ( - 2d) + ( - 4d) + 3d In this case, we have three d-terms and one constant. Only the d-terms can be combined. To simplify the expression we will group the like terms according to the Associative Property of Addition and then combine like terms.

- 6 + (- 2d) + (- 4d) + 3d

AssociativePropAdd

Associative Property of Addition

- 6 + ((- 2d) + (- 4d) + 3d)

AddNeg

a+(- b)=a-b

- 6 + (- 2d - 4d + 3d)

AddTerms

Add terms

- 6 + (- 3d)

AddNeg

a+(- b)=a-b

- 6 - 3d