The equation is .
(Product of two same signs is positive).
Apply multiplication property of equality: Multiply each side by negative 8.
\ (Cancel common terms)
(Multiply:
)
Apply addition property of equality: Add 6p to each side.
\
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Apply addition property of equality: Add 72 to each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Add:
)
Apply division property of equality: Divide each side by 6.
\ (Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Product of two same signs is positive)
(Multiply:
)
(Add:
)
(Divide:
)
Compare the values, the equation is true.
\
The value of p is .