Answer:
30p -40
Explanation:
You want to simplify the expression -10(-3p +4).
Distributive property
The distributive property tells you the product is ...
-10(-3p +4)
= (-10)(-3p) + (-10)(4)
= 30p +(-40)
= 30p -40
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Additional comment
It is easy to get confused by minus signs. For any given numerical product the sign of the result will be negative if (and only if) the number of negative factors is odd.
Here, the first product is (-10)(-3p), which has an even number of minus signs. The result will be the same as with no minus signs:
(-10)(-3p) = (10)(3p) = 30p
On the other hand, the product (-10)(4) has an odd number of minus signs. That result will be negative:
(-10)(4) = -40
For this problem, you could start by distributing the minus sign, changing the sign of each term inside the parentheses:
-10(-3p +4) = 10(3p -4)
Doing this can simplify the mental load of figuring the signs of the product terms.