The equation is .
Distribute terms using distributive property: a( b + c) = ab + ac.
\ (Multiply:
)
Apply to subtraction property of equality: Subtract 9p from each side.
\Rearrange the terms using commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Subtract 1 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply divison property of equality: Divide each side by 26.
\ (Cancel common terms)
Verify:
\To check the solution, substitute in original equation.
(Substitute x = 3)
(Add:
)
(Multiply:
)
(Apply multiplicative identity property:
)
(Add:
)
Compare the values, the equation is true.
The solution is .