The equation is .
Distribute terms using distributive property: a( b c ) = ab
bc.
(Multiply:
)
(Multiply:
)
Apply subtraction property of equality: Subtract 16n from each side.
\Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply addition property of equality: Add 6 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of equality: If a = b then .
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in
.
(Multiply:
)
(Subtract:
)
(Multiply:
)
Compare the values, the equation is true.
The value of .