Answer: p = 8
Step-by-step explanation:
Given expression
-162 = 8 - 5 (4p + 2)
Expand parentheses and apply the distributive property
-162 = 8 - 20p - 10
Combine like terms
-162 = (8 - 10) - 20p
-162 = -2 - 20p
Add 2 on both sides
-162 + 2 = -2 - 20p + 2
-160 = -20p
Divide -20 on both sides
-160 / -20 = -20p / -20
[tex]\boxed{p=8}[/tex]
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