Final answer:
To solve the equation -8(-8p+5)+6p=-5(-2p-4), we expand and combine like terms, which results in p = 1.
Step-by-step explanation:
To solve the equation -8(-8p+5)+6p=-5(-2p-4), we must first expand both sides and then simplify the equation.
Expand the left side: 64p - 40 + 6p
Combine like terms: 70p - 40
Expand the right side: 10p + 20
Bring all terms involving p to one side and constant terms to the other side: 70p - 10p = 20 + 40
Combine like terms: 60p = 60
Divide both sides by 60 to solve for p: p = 1
Therefore, p = 1.