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Answer:
1/6p - 4/5
Step-by-step explanation:
Like terms are terms that share the same base and exponent. For example, x^2 and 10x^2 are like terms. Like terms can be combined to simplify an expression.
In this expression, -2/3p and 5/6p are like terms because they are both p raised to the first power. 1/5 and -1 are like terms because they are both constants (or p raised to the zeroth power).
To add -2/3p and 5/6p, they need to have the same denominator. We can multiply -2/3 by 2/2 to make the denominator 6 so it can be combined with 5/6. This gives us [tex]\frac{-4}{6}p+\frac{5}{6}p = \frac{1}{6}p[/tex]
1/5 and -1 can be added the same way. -1 becomes -5/5, and 1/5 - 5/5 = -4/5.
This gives us 1/6p - 4/5 as our final simplified expression.