Final answer:
To combine like terms and simplify the expression, we first find a common denominator for the terms with p, combine them, and then combine the constant terms separately, leading to a simplified expression of -4/3p - 4/5.
Step-by-step explanation:
To combine like terms and create an equivalent expression for -2/3p + 1/5 - 1 + 5/6p - 3/2p, we need to combine the terms with p and the constant terms separately. First, we work with the p terms: -2/3p + 5/6p - 3/2p. We can find a common denominator for these fractions, which is 6, so we convert each term to have the same denominator and combine them:
-4/6p + 5/6p - 9/6p = -8/6p or -4/3p after simplifying.
Next, we combine the constant terms: 1/5 - 1. Since 1 is the same as 5/5, we can write this as:
1/5 - 5/5 = -4/5.
Finally, when we combine these results, we get -4/3p - 4/5 as the simplified expression.