(5d + 5) - (d +1)

5 d + 5 - d - 1

4 d + 4

(5d + 5) - (d +1)

= 5d + 5 - d - 1
= 4d + 4
or
= 4(d+1)

to convince yourself pick some number for d, like 12

(60+5) - (12+1)

65 - 13

52

-----------------
now is that the same as
4(12) + 4 ????

48 + 4

52 sure enough

To simplify the expression (5d + 5) - (d + 1), we need to apply the distributive property and combine like terms.

Step 1: Distribute the negative sign to the terms inside the second parentheses:
(5d + 5) - (d + 1) = 5d + 5 - d - 1

Step 2: Combine like terms. In this case, the terms with 'd' and the constant terms:
5d - d = 4d
5 - 1 = 4

Thus, the simplified expression is 4d + 4.